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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 1.8, Problem 53E

To determine

**To calculate: **The x- and y- intercepts for the equation

Expert Solution

The x-intercepts are __0 and4 __and y-intercept is __0__.

**Given information:**

The equation

**Formula used:**

The x-intercepts are the points on x-axis where the graph of the equation intersects the x-axis.

The y-intercepts are the points on y-axis where the graph of the equation intersects the y-axis.

**Calculation:**

Consider the provided equation

Observe from the graph that the curve intersects x-axis at two points 0 and 4 and y-axis only at one point that is 0.

Recall that the x-intercepts are the points on x-axis where the graph of the equation intersects the x-axis.

Substitute

Either

Simplify it, either

Therefore, x-interceptsare 4 and 0.

Recall that the y-intercepts are the points on x-axis where the graph of the equation intersects the y-axis.

Substitute

Therefore, y-intercept is 0.

Thus, the x-intercepts are0 and 4 and y-intercept is 0.