Question

Which equation is true for the function h(x) = 16^x ?

A. h(–1.25) = –0.5
B. h(–0.5) = 0.25
C. h(0.75) = 12
D. h(1.25) = 20

Answer 1

Option B is correct

`h(-0.5) = 0.25`.

Explanation:

Given the function:

`h(x) = 16^x`

For x = -1.25, we have;

`h(-1.25) = 16^(-1.25) = (1)/(16^(1.25)) = (1)/(32) = 0.03125`

⇒
`h(-1.25) = 0.01325`

For x = -0.5

`h(-0.5) = 16^(-0.5) = (1)/(16^(0.5)) = (1)/(4) = 0.25`

⇒
`h(-0.5) = 0.25`.

For x = 0.75

`h(0.75) = 16^(0.75) =8`

⇒
`h(0.75) =8`

For x = 1.25,

`h(1.25) = 16^(1.25) =32`

⇒
`h(1.25) =32`

From the given option we have only equation that is true is:
`h(-0.5) = 0.25`.

Answer 2

option B) h(–0.5) = 0.25

Explanation:

To find out which equation satisfies h(x) we need to check with each option

We plug in x value

A) h(–1.25) = –0.5

Plug in -1.25 for x in h(x) = 16^x

`h(-1.25)= 16^(-1.25)=0.03125`

That is not true

B) h(–0.5) = 0.25

Plug in -0.5 for x

`h(-0.5)= 16^(-0.5)=0.25`

That is true.

C) h(0.75) = 12

Plug in 0.75 for x

`h(0.75)= 16^(0.75)=8`

That is not true.

D) h(1.25) = 20

Plug in 1.25 for x

`h(1.25)= 16^(1.25)=32`

That is not true.