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)

Respuesta :

Answer:

  A.  f(-3) < g(-3)

Step-by-step 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).