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2 votes
Match the range of the function f(x) = x2 + 2x − 1 to its domain.

2 -2 3 -3

2 -->

14 -->

7 -->

-1 -->

User Scoopzilla
by
7.8k points

2 Answers

3 votes

Answer:

(2,7) , (-2,-1) , (3,14) , (-3,2)

Explanation:

Given : Function
f(x)=x^2+2x-1

To find : Match the range of the function to its domain ?

Solution :

Domain is x and range is y,

We substitute the domain values 2, -2, 3, -3 and find y,

At x=2


f(2)=(2)^2+2(2)-1


f(2)=4+4-1


f(2)=7

i.e. (2,7)

At x=-2


f(-2)=(-2)^2+2(-2)-1


f(-2)=4-4-1


f(-2)=-1

i.e. (-2,-1)

At x=3


f(3)=(3)^2+2(3)-1


f(3)=9+6-1


f(3)=14

i.e. (3,14)

At x=-3


f(-3)=(-3)^2+2(-3)-1


f(-3)=9-6-1


f(-3)=2

i.e. (-3,2)

User Dhiren Basra
by
8.5k points
5 votes
f(x) = x² + 2x - 1

f(2) = 2² + 2 · 2 - 1 = 4 + 4 - 1 = 7
f(-2) = (-2)² + 2 · (-2) - 1 = 4 - 4 - 1 = -1
f(3) = 3² + 2 · 3 - 1 = 9 + 6 - 1 = 14
f(-3) = (-3)² + 2 · (-3) - 1 = 9 - 6 - 1 = 2

The range = {-1; 2; 7; 14}
User Nifhel
by
8.8k points

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