Question

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

Answer 1

Answer:

Option D.

Step-by-step 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.