Question

Which of the following functions shown in the table below is not an exponential function?
Check all that apply. Table is shown in image

A. k(x)
B. f(x)
C. g(x)
D. h(x)

Answer 1

Answer:

B. f(x)

D. h(x)

Step-by-step explanation:

An exponential function will have a common ratio.

We check and see if the consecutive terms has a common ratio.

For f(x),

$\frac{5}{2} \ne \frac{10}{5}$

This is not an exponential sequence.

For g(x), we have:

$\frac{2}{1} = \frac{4}{2} = \frac{8}{4} = 2$

For h(x),

$\frac{1.25}{1} \ne \frac{1.5}{1.25}$

This is not an exponential sequence

For k(x),

$\frac{16}{64} = \frac{4}{16} = \frac{1}{4} = \frac{0.25}{1}$

Answer 2

Using the concept of exponential function, it is found that the following function is not exponential:

D. h(x)

• If the absolute value of the change is always the same, it is linear.

• If the rate is the same, it is exponential.

In this problem:

• In functions f, g and k, when x changes by 1, y is multiplied by a value, hence the rate is the same, as they are exponential.

• In function h(x), when x changes by 1, y changes by 0.5, hence the absolute value of the change is the same, and it is linear, hence option D is correct.

For more on exponential functions, you can check https://brainly.com/question/24282972