MAT 140 Spring Proctice Exam-Microsoft Word Home Insert Page Layout Refer ?cut C

Question

MAT 140 Spring Proctice Exam-Microsoft Word Home Insert Page Layout Refer ?cut Copy F Format Painter B i u-6 ?, X' Aa,? ences MailingsReviewVieww Find aBbCcDc AaBbccD AaBbC AaBbCc AaBbCcc AaB AaBbCcL AaBbCcD Normal 1 No Spa Heading1 Heading 2 Heading 3 ac Replace Paste Title Subtitle Subtile Em.... Change Styles Select- Font Paragraph Styles GI Editing Let f be a linear function such that f(-1)--5andf(2) = 10: determine f(x) and then find the value of f(-2) 7. Page: 2 of 5 Words: 405 O Type here to search 222 PM 4/30/2018 4

Explanation / Answer

Given, f(x) is a linear function. i.e involves only in two variables and of the form

f(x) = ax + b

given, f(-1) = -5

a(-1)+b = -5

b-a = -5, implies,

a-b =5.........(1)

f(2) = 10

2a+b = 10.........(2)

add (1) and (2)

3a = 15, a =5

substitute a value in equation1, we get b=0

So, the function f(x) = ax+b = 5x+0 = 5x

Now, find f(-2) = 5(-2) = -10 is the answer.

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