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

Question

asked Aug 24, 2019 232k views

2 Answers

Dongminator · Answer 1 · 2019-08-28T05:03:57+0000

Answer:

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.