Question

Which graph represents the function f(x)=0.25x+5

Answer 1

D

Explanation:

Answer 2

Option D.

Explanation:

Consider the given function

`f(x)=0.25^x+5`

We need to find the graph of given function.

Substitute x=0 in the given function to find the y-intercept of the function.

`f(0)=0.25^(0)+5`

`f(0)=1+5`

`f(0)=6`

So, y-intercept of the function is 6.

`(0.25)^x\rightarrow \infty` as
`x\rightarrow -\infty`

`(0.25)^x\rightarrow 0` as
`x\rightarrow \infty`

We can concluded that

`f(x)\rightarrow \infty` as
`x\rightarrow -\infty`

`f(x)\rightarrow 5` as
`x\rightarrow \infty`

Therefore, the correct option is D.