Chapter 7.7, Problem 3STP

For Exercises $1-5,$ choose the correct letter.

What is always true regarding functions that model exponential growth?

A. Their graphs are always symmetric about the $y$-axis.

B. The range depends on the growth factor.

C. The value of $y$ is always greater than the value of $x$.

D. The value of $y$ decreases as $x$ gets more negative.

To determine

To calculate: What is always true regarding functions that model exponential growth?

A. Their graphs are always symmetric about the $y$ -axis.

B. The range depends on the growth factor.

C. The value of $y$ is always greater than the value of $x$ .

D. The value of $y$ decreases as $x$ gets more negative

Answer to Problem 3STP

Option (D) is correct

Explanation of Solution

Option (A) is wrong because graph of exponential function is not symmetric.

Option(B) is also wrong because the range of every exponential function is $\left(0,\infty \right)$ .

Option(C) is also wrong sometimes it does not follow the given condition, for example $y=\frac{2^x}{5}$ at $x=1$ , $y=\frac{2}{5}$ .

Option(D) is always true

Conclusion: Option (D) is correct.