Question
Dud grenade math
Which graph represents an exponential function?
Use the images to answer the question.
(1 point)
Responses
A coordinate plane goes fromnegative 5 to 5 on the x-axis in intervals of 1 and from negative 16 to 4 on the y-axis in intervals of 2.
Image with alt text: A coordinate plane goes fromnegative 5 to 5 on the x-axis in intervals of 1 and from negative 16 to 4 on the y-axis in intervals of 2.
A coordinate plane goes from negative 5 to 5 on the x-axis in intervals of 1 and from negative 5 to 5 on the y-axis in intervals of 1.
Image with alt text: A coordinate plane goes from negative 5 to 5 on the x-axis in intervals of 1 and from negative 5 to 5 on the y-axis in intervals of 1.
A coordinate plane goes from negative 5 to 5 on the x-axis in intervals of 1 and from negative 5 to 5 on the y-axis in intervals of 1.
Image with alt text: A coordinate plane goes from negative 5 to 5 on the x-axis in intervals of 1 and from negative 5 to 5 on the y-axis in intervals of 1.
A coordinate plane goes from negative 5 to 5 on the x-axis in intervals of 1 and from negative 5 to 5 on the y-axis in intervals of 1.
Which graph represents an exponential function?
Use the images to answer the question.
(1 point)
Responses
A coordinate plane goes fromnegative 5 to 5 on the x-axis in intervals of 1 and from negative 16 to 4 on the y-axis in intervals of 2.
Image with alt text: A coordinate plane goes fromnegative 5 to 5 on the x-axis in intervals of 1 and from negative 16 to 4 on the y-axis in intervals of 2.
A coordinate plane goes from negative 5 to 5 on the x-axis in intervals of 1 and from negative 5 to 5 on the y-axis in intervals of 1.
Image with alt text: A coordinate plane goes from negative 5 to 5 on the x-axis in intervals of 1 and from negative 5 to 5 on the y-axis in intervals of 1.
A coordinate plane goes from negative 5 to 5 on the x-axis in intervals of 1 and from negative 5 to 5 on the y-axis in intervals of 1.
Image with alt text: A coordinate plane goes from negative 5 to 5 on the x-axis in intervals of 1 and from negative 5 to 5 on the y-axis in intervals of 1.
A coordinate plane goes from negative 5 to 5 on the x-axis in intervals of 1 and from negative 5 to 5 on the y-axis in intervals of 1.
Answers
GPT-4o mini
To determine which graph represents an exponential function, we need to look for certain characteristics associated with exponential functions:
1. **Continuous growth or decay**: Exponential functions typically show a sharp increase or decrease.
2. **Rapid change**: Values should rise or fall rapidly instead of being linear.
3. **Y-Intercept**: Exponential functions have a y-intercept where the function equals 1 when x = 0, leading to a significant rise or fall as x moves away from 0.
Since I cannot see the images, you should look for a graph that shows a rapid increase or decrease rather than a straight line. The most likely candidate for representing an exponential function will either curve upwards (indicating growth, such as \(y = a \cdot b^x\) where \(b > 1\)) or curve downwards (indicating decay, such as \(y = a \cdot b^{-x}\) where \(b > 1\)).
If you compare the graphs according to these characteristics, the graph that best shows either of these traits is the one that represents an exponential function.
1. **Continuous growth or decay**: Exponential functions typically show a sharp increase or decrease.
2. **Rapid change**: Values should rise or fall rapidly instead of being linear.
3. **Y-Intercept**: Exponential functions have a y-intercept where the function equals 1 when x = 0, leading to a significant rise or fall as x moves away from 0.
Since I cannot see the images, you should look for a graph that shows a rapid increase or decrease rather than a straight line. The most likely candidate for representing an exponential function will either curve upwards (indicating growth, such as \(y = a \cdot b^x\) where \(b > 1\)) or curve downwards (indicating decay, such as \(y = a \cdot b^{-x}\) where \(b > 1\)).
If you compare the graphs according to these characteristics, the graph that best shows either of these traits is the one that represents an exponential function.
just make a choice