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1 vote
Help don't understand my 8th grade math HW

if f(x) is a linear function such that f(2)≤f(3), f(4)≥f(5) and f (6)=10 which of the following is true...
A. f(3)<f(0)<f(4)
B. f(0)=0
C. f(0)>10
D. f(0)=10


plz explain why and thank you.

1 Answer

4 votes

A linear function has the same slope everywhere.

The first relation, f(2)≤f(3), says the slope is positive or zero.

The second relation, f(4)≥f(5), says the slope is negative or zero.

The only way both relations can be true is if the slope of the line is zero. Since f(6) = 10, the function must be ...

... f(x) = 10

making the only true statement ...

... D. f(0) = 10

User LBridge
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