SOLUTION: Can someone explain this to me and how to approach it? Which of the following functions satisfies the inequality f(2)is less than f(-2)? Answer choices: A. f(x) = 2x^2 + 2

Algebra ->  Functions -> SOLUTION: Can someone explain this to me and how to approach it? Which of the following functions satisfies the inequality f(2)is less than f(-2)? Answer choices: A. f(x) = 2x^2 + 2      Log On


   



Question 985455: Can someone explain this to me and how to approach it?
Which of the following functions satisfies the inequality
f(2)is less than f(-2)?
Answer choices:
A. f(x) = 2x^2 + 2
B. f(x) = 2x^2 - 2
C. f(x) = -2x^2 - 2
D. f(x) = 2x + 2
E. f(x) = -2x-2
Thank you.
Helen

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Familiarity with parabola functions would help. All of the parabola function choices are symmetric around the y-axis and either open upward or downward. Each of those functions evaluated each at x=-2 and x=2 are equal there. You want f%282%29%3Cf%28-2%29. The only choice left un-examined in the linear function; and this one fails to have f%282%29%3Cf%28-2%29. This linear function slopes upward from left to right, inconsistent with the specified condition.

NONE of the function choices satisfy the condition.

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

Can someone explain this to me and how to approach it?
Which of the following functions satisfies the inequality
f(2)is less than f(-2)?
Answer choices:
A. f(x) = 2x^2 + 2
B. f(x) = 2x^2 - 2
C. f(x) = -2x^2 - 2
D. f(x) = 2x + 2
E. f(x) = -2x-2
Thank you.
Helen
highlight_green%28CHOICE_E%29 as f(2) = - 6, and f(- 2) = 2, so f(2) < f(- 2)