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Usimov [2.4K]
4 years ago
13

Consider two functions: g(x)=x2 and the linear function ​f(x)​ with slope 1 and y-intercept of 0.

Mathematics
1 answer:
Kay [80]4 years ago
6 0

ANSWER

The correct answers are option B and C


<u>EXPLANATION</u>


A linear function with slope m=1 and y - intercept 0 has equation, f(x)=x

Option A

f(-1)=-1

g(-1)=(-1)^2=1

Therefore f(-1) \ne g(-1)


Option B

f(1)=1

g(1)=(1)^2=1

Therefore f(1) = g(1)


Option C

f(0.5)=0.5

g(0.5)=(0.5)^2=0.25

Therefore f(x) > g(x)

on (0,1) See graph also.


Option D

At y-intercept, x=0

This implies that,

f(0)=0

g(0)=(0)^2=0

Therefore g(x) does not have a greater y-intercept.

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