For x > 0, which of the following is true about the values of \$4^"x"\$ and 3𝑥 + 2?

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 decrease exponentially as x decreases

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

Compare with linear function:
→ The function 3x+2 represents linear growth
→ As x increases, the value of 3x+2 increases at a constant rate

Choosing the correct option:

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

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

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

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

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

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

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

This choice implies that \$4^x\$ decreases exponentially as x decreases, which is also incorrect for positive values of x

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

Option

B

Can you summarize what you’ve understood in the above steps?