Question

Type the correct answer in each box.
Consider this function:

f(x) = -2(x + 3)(x − 7).

When graphed, the function will have x-intercepts at ______ and ________
.

Write the left x-intercept first. Write the x-intercepts as ordered pairs: (a,b).

Answer 1

Answer:

Solution

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Correct option is

A

(−

2

1

,0) and (0,−

2

1

)

f(x)=

x−2

2x+1

For y intercept x=0

⇒y=

0−2

2(0)+1

=−

2

1

So the point on the y axis is (0,−

2

1

)

For x intercept y=0

⇒

x−2

2x+1

=0

⇒2x+1=0

⇒x=−

2

1

So point on x axis is (−

2

1

,0)

So option A is correct.