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Questions and Answers
What is the range of the sine function $y = ext{sin} \theta$?
What is the range of the sine function $y = ext{sin} \theta$?
Which point is a maximum turning point of the sine function $y = ext{sin} \theta$?
Which point is a maximum turning point of the sine function $y = ext{sin} \theta$?
If $a < 0$ in the function $y = a ext{sin} \theta + q$, what transformation occurs?
If $a < 0$ in the function $y = a ext{sin} \theta + q$, what transformation occurs?
For the cosine function $y = a ext{cos} \theta + q$, what is the y-intercept when $a > 0$?
For the cosine function $y = a ext{cos} \theta + q$, what is the y-intercept when $a > 0$?
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What are the x-intercepts of the cosine function $y = ext{cos} \theta$?
What are the x-intercepts of the cosine function $y = ext{cos} \theta$?
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Which statement correctly describes the effect of $q$ when $q < 0$ in $y = a ext{sin} \theta + q$?
Which statement correctly describes the effect of $q$ when $q < 0$ in $y = a ext{sin} \theta + q$?
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What is the period of both sine and cosine functions?
What is the period of both sine and cosine functions?
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What happens to the range of the sine function when $a = 2$ and $q = 1$?
What happens to the range of the sine function when $a = 2$ and $q = 1$?
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What occurs to the cosine graph when it is shifted to the right by 90°?
What occurs to the cosine graph when it is shifted to the right by 90°?
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What is the domain of the tangent function defined as $y = an heta$?
What is the domain of the tangent function defined as $y = an heta$?
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What effect does changing the value of $q$ have in the function $y = a an heta + q$?
What effect does changing the value of $q$ have in the function $y = a an heta + q$?
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What is the period of the tangent function $y = an heta$?
What is the period of the tangent function $y = an heta$?
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Where are the asymptotes located for the tangent function graph within the defined domain?
Where are the asymptotes located for the tangent function graph within the defined domain?
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What is the y-intercept of the function $y = a an heta + q$?
What is the y-intercept of the function $y = a an heta + q$?
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What happens to the steepness of the branches in the tangent function when the value of $a$ increases?
What happens to the steepness of the branches in the tangent function when the value of $a$ increases?
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Which of the following is the correct y-intercept for the function $y = a \tan \theta + q$?
Which of the following is the correct y-intercept for the function $y = a \tan \theta + q$?
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What is the domain of the tangent function $y = \tan \theta$?
What is the domain of the tangent function $y = \tan \theta$?
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At what angles do the asymptotes of the tangent function occur?
At what angles do the asymptotes of the tangent function occur?
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What is the effect of a negative value of $q$ in the function $y = a \tan \theta + q$?
What is the effect of a negative value of $q$ in the function $y = a \tan \theta + q$?
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What is the significance of the period in the tangent function $y = \tan \theta$?
What is the significance of the period in the tangent function $y = \tan \theta$?
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What is the y-intercept of the sine function of the form $y = a \sin \theta + q$ when $a > 0$?
What is the y-intercept of the sine function of the form $y = a \sin \theta + q$ when $a > 0$?
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Which point is a minimum turning point of the cosine function $y = \cos \theta$?
Which point is a minimum turning point of the cosine function $y = \cos \theta$?
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If $a = -2$ in the function $y = a \sin \theta + q$, what transformation occurs to the graph?
If $a = -2$ in the function $y = a \sin \theta + q$, what transformation occurs to the graph?
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What effect does a positive value of $q$ have on the sine function $y = a \sin \theta + q$?
What effect does a positive value of $q$ have on the sine function $y = a \sin \theta + q$?
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For the function $y = a \cos \theta + q$ with $0 < |a| < 1$, what happens to the graph?
For the function $y = a \cos \theta + q$ with $0 < |a| < 1$, what happens to the graph?
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Which of the following best describes the range of the sine function $y = 2 \sin \theta + 1$?
Which of the following best describes the range of the sine function $y = 2 \sin \theta + 1$?
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What are the x-intercepts of the sine function $y = \sin \theta$?
What are the x-intercepts of the sine function $y = \sin \theta$?
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If the cosine function is represented as $y = \cos \theta$, which of the following statements is false?
If the cosine function is represented as $y = \cos \theta$, which of the following statements is false?
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What is the y-intercept of the cosine function of the form $y = a \cos \theta + q$ when $a < 0$?
What is the y-intercept of the cosine function of the form $y = a \cos \theta + q$ when $a < 0$?
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Which range is correct for the transformed sine function $y = 3 \sin \theta - 2$?
Which range is correct for the transformed sine function $y = 3 \sin \theta - 2$?
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If the amplitude of a sine function is doubled while keeping the vertical shift constant, what happens to the maximum turning point?
If the amplitude of a sine function is doubled while keeping the vertical shift constant, what happens to the maximum turning point?
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Which statement is true regarding the cosine function's x-intercepts?
Which statement is true regarding the cosine function's x-intercepts?
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What is the effect on the sine function $y = a \sin \theta + q$ if $|a| < 1$?
What is the effect on the sine function $y = a \sin \theta + q$ if $|a| < 1$?
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Which transformation occurs when the sine function $y = \sin \theta$ is shifted left by $90°$?
Which transformation occurs when the sine function $y = \sin \theta$ is shifted left by $90°$?
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How does the cosine function's maximum turning point change if the amplitude $a$ is negative?
How does the cosine function's maximum turning point change if the amplitude $a$ is negative?
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Which of the following intervals defines the range of the transformed function $y = -2 \sin \theta + 3$?
Which of the following intervals defines the range of the transformed function $y = -2 \sin \theta + 3$?
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What is the shape of the graph for the tangent function defined as $y = a \tan \theta + q$ when $a > 0$ and $q < 0$?
What is the shape of the graph for the tangent function defined as $y = a \tan \theta + q$ when $a > 0$ and $q < 0$?
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Which of the following describes the behavior of the tangent function $y = \tan \theta$ at its asymptotes?
Which of the following describes the behavior of the tangent function $y = \tan \theta$ at its asymptotes?
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If the value of $a$ in the function $y = a \tan \theta + q$ is increased to a large positive value, what effect does it have on the graph's branches?
If the value of $a$ in the function $y = a \tan \theta + q$ is increased to a large positive value, what effect does it have on the graph's branches?
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Which statement correctly describes the domain of the function $y = a \tan \theta + q$?
Which statement correctly describes the domain of the function $y = a \tan \theta + q$?
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Which of the following statements is true about the relationship between the sine and cosine graphs?
Which of the following statements is true about the relationship between the sine and cosine graphs?
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What determines the position of the y-intercept for the function $y = a \tan \theta + q$?
What determines the position of the y-intercept for the function $y = a \tan \theta + q$?
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Which statement about the tangent function $y = a an \theta + q$ is correct regarding its steepness?
Which statement about the tangent function $y = a an \theta + q$ is correct regarding its steepness?
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At which specific angles does the tangent function $y = an \theta$ exhibit its vertical asymptotes?
At which specific angles does the tangent function $y = an \theta$ exhibit its vertical asymptotes?
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What transformation occurs to the tangent function $y = a an \theta + q$ when $q < 0$?
What transformation occurs to the tangent function $y = a an \theta + q$ when $q < 0$?
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Which of the following correctly identifies the y-intercept for the tangent function $y = a an \theta + q$?
Which of the following correctly identifies the y-intercept for the tangent function $y = a an \theta + q$?
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What is the range of the tangent function $y = an \theta$ within the defined domain?
What is the range of the tangent function $y = an \theta$ within the defined domain?
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