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Home > A2C > Chapter 4 > Lesson 4.2.1 > Problem 4-85

4-85.
  1. Given f (x) = x3 + 1 and g(x) = (x + 1)2 : 4-85 HW eTool (Desmos). Homework Help ✎

    1. Sketch the graphs of the two functions.

    2. Solve f (x) = 9.

    3. Solve g(x) = 0.

    4. Solve f (x) = −12.

    5. Solve g(x) = −12.

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

    7. Find and simplify an expression for f (x) − g(x).

Use the eTool below to solve the parts of the problem.
Click the link at right for the full version of the eTool: A2C 4-85 HW eTool

You can sketch a graph of g(x) and use a table to graph f(x).

Substitute 9 for f(x) and solve.

See part (b).

See part (b).

See part (c).

Look at the graph from part (a).

Three because the graphs cross three times.

x3x2 − 2x