Comparing values of functions

The figure shows a graph of the function of f(x) in the xy-coordinate plane, 
with the vertex at (1,9) and the zeros at -2 and 4.

​The function g is defined by g(x) = -3x + 2
Which statements are true?  Select all that apply.
A.)  f(-2) is greater than g(-2)
B.)  f(-1) is greater than g(-1)
C.)  f(0) is greater than g(0)
D.)  f(1) is greater than g(1)
​E.)  f(2) is greater than g(2)

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Graph the line y = -3x + 2 by putting a point on 2 (the y-intercept),
then moving down 3 and to the right 1 and putting another point down, since the slope is 3, and drawing a line through the two points.

A.)  f(-2) is greater than g(-2)  FALSE
the y-value of f(x), when x is -2, is less than the y-value on g(x) when x is -2

B.)   f(-1) is greater than g(-1)  FALSE  
the y-value of f(x), when x is -1, is equal to the y-value of g(x) when x is -1

C.)  f(0) is greater than g(0)  TRUE
                                                         the y-value of f(x), when x is 0, is greater than the y-value of g(x) when x is 0

                                                         D.)  f(1) is greater than g(1)  TRUE
                                                         the y-value of f(x), when x is 1, is greater than the y-value of g(x) when x is 1

                                                         E.)  f(2) is greater than g(2)  TRUE
                                                         the y-value of f(x), when x is 2, is greater than the y-value of g(x) when x is 2

C, D, and E are the true statements

Ask Algebra House
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