Which of these equations could define [math]f[/math]?
[size=150]The function [math]f[/math] is defined by [math]f\left(x\right)=2^x[/math]. [/size][br][br]Which of the following statements is true about the values of [math]f[/math]? Select [b]all[/b] that apply.
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[/img][/center][br]Use the graph to explain why the value of [math]f[/math] increases by 2 each time the input [math]x[/math] increases by 1.
Use the graph to explain why the value of [math]g[/math] increases by 2 each time the input [math]x[/math] increases by 1.
[size=150]The function [math]h[/math] is given by [math]h\left(x\right)=5^x[/math].[/size][br][br]Find the quotient [math]\frac{h\left(x+2\right)}{h\left(x\right)}[/math].
What does this tell you about how the value of [math]h[/math] changes when the input is increased by 2?
Find the quotient [math]\frac{h\left(x+3\right)}{h\left(x\right)}[/math].
What does this tell you about how the value of [math]h[/math] changes when the input is increased by 3?
For each of the functions [math]f,g,h,p,[/math] and [math]q[/math], the domain is [img]data:image/png;base64,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[/img]. For which functions is the average rate of change a good measure of how the function changes for this domain? Select [b]all [/b]that apply.
[size=150]In 2017, the average price was $2.42 a gallon—an increase of 13%.[br][/size][br]At that rate, what will the average price of gasoline be in 2020?
If no payments are made and interest is compounded quarterly, which expression could be used to calculate the account balance, in dollars, in 3 years?
For each function, write a verbal description of what is done to the input to get the output, and then write the inverse function.[br][br][math]a\left(x\right)=x-4[/math]
[math]b\left(x\right)=2x-4[/math]
[math]c\left(x\right)=2\left(x-4\right)[/math]
[math]d\left(x\right)=\frac{x}{4}[/math]