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Chapter 1: Q. 79 (page 24)

If the graph of an equation is symmetric with respect to the origin and -4is an x-intercept of this graph, name another x-intercept.

Short Answer

Expert verified

The other x-intercept is 4.

Step by step solution

01

Given information

The x-Intercept is -4, therefore the graph intersects the x-axis at (-4,0).

02

Determine the other point.

Since the graph is symmetric with respect to the origin, the following point is also on the graph:

(-(-4),-0)

Simplify the expression for the first coordinate by changing the sign of the number:

(4,0)

The graph intersects the x-axis at (4,0)because the y-coordinate is 0.

03

Write the conclusion

Since the graph intersects the x-axis at (4,0), the x-intercept occurs at 4.

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