Question

Find the ranges of the function ƒ(x) = |x + 4| + 1 and the range of the exponential function g(x) represented by the graph below.

Are they the same? Explain.

Answer 1

Short answer: No
One of the ways you can answer this question is to graph both of the functions. You already have the graph of one of them. I've made the other one for you.

They don't look very much alike, do they?

You are asked for the ranges. The range of your graph is ∞ > y ≥ 1 which includes all the reals within that boundary.

The value of the range of the absolute value graph is ∞ > y ≥ 1 which includes all the reals within that boundary.

The graphs are not the same but the ranges are the same are the same <<< answer.