Maths-
SAT
Easy

Question

x

f(x)

0

-2

2

4

6

16

Some values of the linear function f are shown in the table above. What is the value of f (3) ?

  1. 6
  2. 7
  3. 8
  4. 9

The correct answer is: 7


    From y – y1 = m(x – x1)
    m = slope = fraction numerator open parentheses y subscript 2 minus y subscript 1 close parentheses over denominator open parentheses x subscript 2 minus x subscript 1 close parentheses end fraction
    picking two points from the table (0,-2) (6,16)
    slope = fraction numerator left parenthesis 16 minus left parenthesis negative 2 right parenthesis over denominator 6 minus 0 end fraction equals 18 over 6 equals 3
    the equation becomes:
    y-(-2) = 3(x-0)
    y + 2 = 3x
    y = f(x) = 3 x -2
    f (3) = 3(3) -2
    = 9 – 2 = 7

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