Question

Choose the graph which matches the function f(x) 2^x+2

Answer 1

Answer is C

If x=0, f(x) (or y) is 2^(0+2)=2²=4

So find the graph that runs through the point (0,4)

Answer 2

Graph C is the graph that represents the exponential function f(x) = 2ˣ⁺²

Which graph matches the function?

We want to find the graph that matches the function:

f(x) = 2ˣ⁺²

First, we can see that when x = 0 we have:

f(0) = 2² = 4

So we need to find the graph that intercepts the y-axis at y = 4. From the given options we can see a single graph that does that, which is option B, so we can conclude that B is the correct option.