Graphing an exponential function

Practice Questions

GMAT Quantitative Reasoning › Graphing an exponential function

Questions

10

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

Define a function as follows:

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

Give the -intercept of the graph of .

5

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

$y = 2^{x } - 20$

6

Define functions and as follows:

$f(x) = 2^{x +2}$

$g(x) = 4^{x-1}$

Give the -coordinate of the point of intersection of their graphs.

7

Define a function as follows:

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

Give the -intercept of the graph of .

8

Define a function as follows:

$f(x) = 3 ^{x-3}- 9$

Give the -intercept of the graph of .

9

Define functions and as follows:

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

$g(x) =\left ( \frac{1}{9} \right )^{x-1}$

Give the -coordinate of the point of intersection of their graphs.

10

Define a function as follows:

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

Give the -intercept of the graph of .

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