Question

Consider two functions: f(x)=x2 and the function g(x) shown in the graph.Which statements are true?Select each correct answer.

Answer 1

Step 1

The graph of f(x) and g(x) are shown below:

1. Both graphs have the same y-intercepts 0.

2.

$Both\text{ graphs increase on an interval \lparen0 , }\infty)$

3.

$f(x)\text{ incrases at a faster rate than g\lparen x\rparen does on an interval \lparen0, }\infty)$

Final answer

$\begin{gathered} f(x)\text{ and g\lparen x\rparen are both increases on an interval \lparen0, }\infty) \\ f(x)\text{ incrases at a faster rate than g\lparen x\rparen does on an interval \lparen0, }\infty) \end{gathered}$