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# Comparing Functions

ACTMAT-4KKVOK

The figure below is of the graphs of:

$$f(x) = -\frac{1}{4}(x-\frac{1}{2})^2 + \frac{49}{16}$$

...and:

$$g(x) = \frac{1}{2}x^{2}-2x$$

...in the x-y coordinate plane.

For which of the following intervals for $x$ is $g(x) < f(x)$?

A

$-3<$ $x$ $<4$

B

$-1<$ $x$ $<4$

C

$0<$ $x$ $<4$

D

$x<-3$ and $x>4$

E

$x<-1$ and $x>4$