Question
Asked Oct 7, 2019

Let f be a linear function for which

f(−4) = −15

and

f(5) = 21.

Determine

f(0).

 

f(0) =
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Expert Answer

Step 1

Given f(x) is a linear function so f(x) is of the form

f(x) ax b...
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f(x) ax b...

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Step 2

Given f (-4)= -15 and f(5)= 21, putting these values in equation (1)

a(-4)b
-15-4ab...(2)
f(5) a(5)b
21 5ab...3)
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a(-4)b -15-4ab...(2) f(5) a(5)b 21 5ab...3)

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Step 3

Subtracting equation (2) from (3...

9a 36
a 4
from (3)
21 5x4b
b 21-20
b 1
Equation (1) becomes
f (x)
4x 1
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9a 36 a 4 from (3) 21 5x4b b 21-20 b 1 Equation (1) becomes f (x) 4x 1

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