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Chapter 9: Q. 250 (page 944)

In the following exercises, find the intercepts of the parabola whose function is given.

f(x)=鈭�x2鈭�14x鈭�49

Short Answer

Expert verified

The x-intercept is (-7,0) and the y-intercept is (0,-49).

Step by step solution

01

Step 1. Given and explanation

We are given a function,

f(x)=鈭�x2鈭�14x鈭�49

The y intercept is given by putting x=0 and the x intercept is given by putting the function equals to zero.

02

Step 2. Finding y- intercept  

Putting x=0in the given function, we get

f(0)=鈭�02鈭�140鈭�49f(0)=-49

Hence they-intercept is (0,-49).

03

Step 3. Finding x- intercept  

Putting f(x)=0, we get

鈭�x2鈭�14x鈭�49=0x2+14x+49=0x2+7x+7x+49=0(x+7)(x+7)=0x+7=0x=-7

or

x+7=0x=-7

Hence the x-intercept are at the points(-7,0).

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