Podcast
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 $y = ab^x + q$?
- Only integers
- All real values of $x$ (correct)
- All negative real numbers
- All positive real numbers
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?
- It is a straight line
- Downwards (correct)
- Upwards
- Sideways
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 $y = ab^x + q$?
- Shifts the graph vertically upwards (correct)
- Shifts the graph to the right
- Shifts the graph vertically downwards
- Shifts the graph to the left
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?
For an exponential function to represent decay, which condition must be true?
For an exponential function to represent decay, which condition must be true?
What is the y-intercept of the function $y = 4(3^x) - 2$?
What is the y-intercept of the function $y = 4(3^x) - 2$?
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?
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?
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?
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 $y = 7(1.5^x) - 4$?
Which horizontal line represents the asymptote for the function $y = -3(2^x) + 5$?
Which horizontal line represents the asymptote for the function $y = -3(2^x) + 5$?
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?
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?
What characteristic describes the range of an exponential function where $a < 0$?
What characteristic describes the range of an exponential function where $a < 0$?
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?
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?
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?
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?
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?
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 $a > 0$?
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?
What describes the range of the function $y = -2(1.5^x) + 4$?
What describes the range of the function $y = -2(1.5^x) + 4$?
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?
Which situation would lead to an exponential decay graph?
Which situation would lead to an exponential decay graph?
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 $y = ab^x + q$?
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?
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?
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?
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 $y = ab^x + q$?
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?
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?
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 $y = ab^x + q$?
