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Chapter 10: Q. 305 (page 1238)

In the following exercises, find the x- and y-intercepts.

y=x2鈭�4x+5

Short Answer

Expert verified

xintercept are the point (-1,0)and (5,0), yintercept is the point(0,5)

Step by step solution

01

Given information

The given information is:y=x2鈭�4x+5

02

Determine the x intercepts.

For x-intercept, set y=0 and solve for x

0=x2-4x+5x2-4x+5=0

Solve the equation using factoring.

(x-5)(x+1)=0x+1=0orx=-5x=-1orx=5

The result gives that when y=0, then x=-1and x=5.

The x-intercept is the point localid="1653583408158" (-1,0)and(5,0).

03

Determine the y intercepts.

Substitute x=0and evaluate y(0).

y=(0)2-4(0)+5=0-0+5=5

The y-intercepts are the points (0,5).

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