How to graph an exponential function

Practice Questions

ACT Math › How to graph an exponential function

Questions

6

1

Give the -intercept of the graph of the function

$f(x) = 5 \cdot 4^{x- 3}- 3$

Round to the nearest tenth, if applicable.

2

Give the -intercept of the graph of the function

$f(x) = 5 \cdot 4^{x- 3}- 3$

Round to the nearest hundredth, if applicable.

3

If the functions

$f(x) = e^{x}+ 9$

$g(x)= 4e^{x}- 7$

were graphed on the same coordinate axes, what would be the -coordinate of their point of intersection?

Round to the nearest tenth, if applicable.

4

If the functions

$f(x) = e^{x}+ 9$

$g(x) = 4e^{x}- 7$

were graphed on the same coordinate axes, what would be the -coordinate of their point of intersection?

Round to the nearest tenth, if applicable.

5

Give the horizontal asymptote of the graph of the function

$g(x) = 9 \cdot 3^{x}- 3$

6

Give the vertical asymptote of the graph of the function

$g(x) = 16 \cdot 4^{x}- 3$

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