### Home > CCA2 > Chapter 7 > Lesson 7.2.2 > Problem7-132

7-132.

Find the x- and y-intercepts of the graphs of each of the following equations.

1. $y = 2x^{3} − 10x^{2} − x$

Set $x\ \text{to} \ 0$ and solve for $y$ to find the $y-$intercept(s).
Set $y\ \text{to}\ 0$ and solve for $x$ to find the $x-$intercept(s).

Let $x = 0$ to find the $y-$intercept.

$y = 2(0)^3 − 10(0)^2 − (0)$

$0 = 2x^3 − 10x^2 − x$
$0 = x\left(2x^2 − 10x^2 − 1\right)$

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

$y-\text{intercept:} \left(0,0\right)$

$x\text{-intercepts: } (0, 0)\text{ and }\left(\frac{5\pm3\sqrt{3}}{2},0\right)$

1. $y + 2 = log_{3}\left(x − 1\right)$

See part (a).

$x-$intercept: $\left(10, 0\right)$
no $y-$intercept