1

Problem

For x > 0, which of the following is true about the values of \$4^x\$?

Step

Understand the properties of exponential functions:

→ \$4^x\$ is an exponential function where the base is 4 and the exponent is x.

→ Exponential functions with a base greater than 1 increase exponentially as x increases and decreases exponentially as x decreases.

3

Step

Determine the stem function:

→ The stem function, denoted as \$4^x\$, means to find the stem value of \$4^x\$.

→ The stem function rounds the value of \$4^x\$ to the nearest integer.

4

Solution

Choosing the correct option: Option B is accurate: As x increases, the values of \$4^x\$ increase exponentially.

5

Sumup

Please summarize Problem, Clue, Hint, Formula, Steps and Solution

Choices

6

Choice-A

This option suggests that as x increases, the values of \$4^x\$ decrease exponentially. This contradicts the properties of exponential functions because as x increases, \$4^x\$ increases, resulting in an increase in the stem value

Wrong As x increases, the values of \$4^x\$ decreases exponentially.

7

Choice-B

This option suggests that as x increases, the values of \$4^x\$ increase exponentially. This aligns with the properties of exponential functions because as x increases, \$4^x\$ increases, resulting in an exponential increase in the stem value

Correct As x increases, the values of \$4^x\$ increase exponentially.

8

Choice-C

This choice contradicts the properties of exponential functions because as x decreases, \$4^x\$ decreases, resulting in a decrease in the stem value

Wrong As x decreases, the values of \$4^x\$ increase exponentially.

9

Choice-D

This option is incorrect because option B accurately represents the behavior of \$4^x\$.

Wrong None of the above

10

Answer

Option

B

11

Sumup

Please summarize choices