Answer:
Option D.
Step-by-step explanation:
Consider the given function
[tex]f(x)=0.25^x+5[/tex]
We need to find the graph of given function.
Substitute x=0 in the given function to find the y-intercept of the function.
[tex]f(0)=0.25^(0)+5[/tex]
[tex]f(0)=1+5[/tex]
[tex]f(0)=6[/tex]
So, y-intercept of the function is 6.
[tex](0.25)^x\rightarrow \infty[/tex] as [tex]x\rightarrow -\infty[/tex]
[tex](0.25)^x\rightarrow 0[/tex] as [tex]x\rightarrow \infty[/tex]
We can concluded that
[tex]f(x)\rightarrow \infty[/tex] as [tex]x\rightarrow -\infty[/tex]
[tex]f(x)\rightarrow 5[/tex] as [tex]x\rightarrow \infty[/tex]
Therefore, the correct option is D.
