Question

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

***some of the picture is chopped off because my screen is too small. i captured where the first two graphs line up***

Answer 1

I say c the bottom left graph

Step-by-step explanation:

F(x) = 0,1,2 plug them in

(.25x0)= 0+5= 5 so graph (0,5)

(.25x1)=.25+5= 5.25so graph (1,5.25)

(.25x2)=.50+5= 5.50 so graph (2,5.50)

Answer 2

upper right graph

Explanation:

Since the graph is exponential it can be growth or decay. An exponential function has the form f(x) = ab^x + c. If the value of b is less than 1 the function is exponential decay. In this case b = 0.25 so it is a exponential decay, and if you substitute x=0 you get

f(0) = 0.25^0 + 5

f(0) = 1 + 5

f(0) = 6

so the graph that have this conditions is the upper right one.