### Home > INT3 > Chapter 3 > Lesson 3.2.1 > Problem3-77

3-77.

Given $f(x)=x^3+1$ and $g(x)=(x+1)^2$: 3-77 HW eTool (Desmos). Homework Help ✎

1. Sketch the graphs of the two functions.

What are the parent graphs of each function? How is each function transformed?

1. Solve $f(x)=9$.

Solve: $9=x^3+1$

1. Solve $g(x)=0$.

See part (b).

1. Solve $f(x)=-7$.

See part (b).

1. Solve $g(x)=12$.

See part (b).

1. For how many values of $x$ does $f(x)$ equal $g(x)$? Explain.

Look at the graph from part (a).

Three values because the graphs intersect three times.

2. Are each of the functions even, odd, or neither?

Both are neither.

Use the eTool below to solve the parts of the problem.
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