How to graph an exponential function

Practice Questions

Advanced Geometry › How to graph an exponential function

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1

Define a function as follows:

$f(x) = 2 ^{x-3}+ 5$

Give the vertical aysmptote of the graph of .

2

Define a function as follows:

$f(x) = 2 ^{x-1} + 7$

Give the horizontal aysmptote of the graph of .

3

$2 ^{x+1} + 3^{y} = 59$

$2 ^{x } - 3^{y} = -11$

Evaluate .

4

Give the -intercept of the graph of the function

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

Round to the nearest tenth, if applicable.

5

An important part of graphing an exponential function is to find its -intercept and concavity.

Find the -intercept for

$y=2(3)^{x}-5$

and determine if the graph is concave up or concave down.

6

Give the -intercept of the graph of the function

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

Round to the nearest hundredth, if applicable.

7

Define a function as follows:

$f(x) = 4 ^{x+2} - 3$

Give the -intercept of the graph of .

8

Give the domain of the function $f(x) = 2e^{x-3}- 7$ .

9

Give the -intercept(s) of the graph of the equation

$y = 2^{x } - 20$

10

Define a function as follows:

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

Give the -intercept of the graph of .

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