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Home > A2C > Chapter 8 > Lesson 8.2.2 > Problem 8-130

8-130.
  1. Find the x- and y-intercepts of the graphs of each of the following equations. Homework Help ✎

    1. y = 2x3 − 10x2x

    2. y + 2 = log3(x − 1)

Set x to 0 and solve for y to find the y-intercept(s).
Set y to 0 and solve for x to find the x-intercept(s).

Let x = 0 to find the y-intercept.

y = 2(0)³ − 10(0)² − (0)

0 = 2x³ − 10x² − x
0 = x(2x² − 10x² − 1)

Let y = 0 to find the x-intercept. Then factor and use the Zero Product Property and the Quadratic Formula.

y-intercept: (0,0)

See part (a).

x-intercept: (10, 0)
no y-intercept