Question

Which comparison is correct for the values of f(x) and g(x) when x=−3 ?

Function A: f(x)=−x^2+4
Function B:
x g(x)
−5 −2
−4 0
−3 1
−2 4



A. f(−3)
B. f(−3)=g(−3)

C. f(−3)>g(−3)

Answer 1

A. f(-3) < g(-3)

Explanation:

Evaluating f(-3), you get ...

f(-3) = -(-3)^2 +4 = -9 +4 = -5

Looking up g(-3) in the table, you get ...

g(-3) = 1

Comparing these values, you find

f(-3) vs. g(-3) . . . is . . . -5 vs. 1

The true comparison is ...

-5 < 1

So, f(-3) < g(-3).