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Questions and Answers
What is the domain of an exponential function of the form $y = ab^x + q$?
What is the domain of an exponential function of the form $y = ab^x + q$?
For the function $y = -2(3^x) + 1$, which direction does the graph curve?
For the function $y = -2(3^x) + 1$, which direction does the graph curve?
What effect does a positive value of $q$ have on the graph of $y = ab^x + q$?
What effect does a positive value of $q$ have on the graph of $y = ab^x + q$?
If $y = 5(2^x) - 3$, what is the horizontal asymptote of this function?
If $y = 5(2^x) - 3$, what is the horizontal asymptote of this function?
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For an exponential function to represent decay, which condition must be true?
For an exponential function to represent decay, which condition must be true?
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What is the y-intercept of the function $y = 4(3^x) - 2$?
What is the y-intercept of the function $y = 4(3^x) - 2$?
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If $y = ab^x + q$ and $a = -1$ with $b = rac{1}{2}$, what type of graph does the function create?
If $y = ab^x + q$ and $a = -1$ with $b = rac{1}{2}$, what type of graph does the function create?
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For the function $y = 3(5^x) + 4$, which statement about the graph is true?
For the function $y = 3(5^x) + 4$, which statement about the graph is true?
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What is the effect of the parameter $a$ on the orientation of the graph of an exponential function?
What is the effect of the parameter $a$ on the orientation of the graph of an exponential function?
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What is the y-intercept of the function expressed as $y = 7(1.5^x) - 4$?
What is the y-intercept of the function expressed as $y = 7(1.5^x) - 4$?
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Which horizontal line represents the asymptote for the function $y = -3(2^x) + 5$?
Which horizontal line represents the asymptote for the function $y = -3(2^x) + 5$?
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For the exponential function $y = -4(3^x)$, how does the sign of $b$ affect the function?
For the exponential function $y = -4(3^x)$, how does the sign of $b$ affect the function?
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In the exponential function $y = 5(0.5^x) + 2$, what type of behavior does the graph represent?
In the exponential function $y = 5(0.5^x) + 2$, what type of behavior does the graph represent?
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What characteristic describes the range of an exponential function where $a < 0$?
What characteristic describes the range of an exponential function where $a < 0$?
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When sketching the graph of an exponential function, what is considered the first step?
When sketching the graph of an exponential function, what is considered the first step?
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If an exponential function has a $q$ value of -3, what can be inferred about its horizontal asymptote?
If an exponential function has a $q$ value of -3, what can be inferred about its horizontal asymptote?
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What happens to the horizontal asymptote of the graph when the parameter $q$ is modified?
What happens to the horizontal asymptote of the graph when the parameter $q$ is modified?
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In the function $y = -5(2^x) + 3$, which characteristic indicates the graph curves downwards?
In the function $y = -5(2^x) + 3$, which characteristic indicates the graph curves downwards?
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For an exponential function to exhibit growth, which condition must the base $b$ meet?
For an exponential function to exhibit growth, which condition must the base $b$ meet?
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Which of the following describes the range of an exponential function where $a > 0$?
Which of the following describes the range of an exponential function where $a > 0$?
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When sketching the graph of $y = 3(0.7^x) - 1$, what is the first characteristic to determine?
When sketching the graph of $y = 3(0.7^x) - 1$, what is the first characteristic to determine?
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What describes the range of the function $y = -2(1.5^x) + 4$?
What describes the range of the function $y = -2(1.5^x) + 4$?
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For the function $y = 0.5(4^x) + 2$, how does the value of $b$ affect the growth rate?
For the function $y = 0.5(4^x) + 2$, how does the value of $b$ affect the growth rate?
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Which situation would lead to an exponential decay graph?
Which situation would lead to an exponential decay graph?
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How does changing the value of $a$ affect the graph of the function $y = ab^x + q$?
How does changing the value of $a$ affect the graph of the function $y = ab^x + q$?
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Which of the following conditions must be met for the graph of $y = ab^x + q$ to possess a horizontal asymptote?
Which of the following conditions must be met for the graph of $y = ab^x + q$ to possess a horizontal asymptote?
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In an exponential function given by $y = ab^x + q$, what impact does setting $b$ to a value between 0 and 1 have?
In an exponential function given by $y = ab^x + q$, what impact does setting $b$ to a value between 0 and 1 have?
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Which of the following statements about the y-intercept of an exponential function $y = ab^x + q$ is correct?
Which of the following statements about the y-intercept of an exponential function $y = ab^x + q$ is correct?
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What does the presence of a negative value for $a$ indicate about the graph of the function $y = ab^x + q$?
What does the presence of a negative value for $a$ indicate about the graph of the function $y = ab^x + q$?
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For an exponential function to exhibit growth, which condition regarding the base $b$ must be satisfied?
For an exponential function to exhibit growth, which condition regarding the base $b$ must be satisfied?
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When analyzing the function $y = 3(2^x) - 5$, what impact does $q = -5$ have on the graph?
When analyzing the function $y = 3(2^x) - 5$, what impact does $q = -5$ have on the graph?
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What characteristic of the graph can be determined by the intercepts of the function $y = ab^x + q$?
What characteristic of the graph can be determined by the intercepts of the function $y = ab^x + q$?
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