Evaluate the function for the given value of x. f(-4)= _______. f(x)={3x^2-6, x-3 {1/2x+5. x

Question

Evaluate the function for the given value of x. f(-4)= _______.  f(x)={3x^2-6, x>-3
                                    {1/2x+5. x  <= -3 (less than or equal to)

anonymous · Answer

is $-4>3$ or is $-4\leq -3$ ?

anonymous · Answer

The second one.

anonymous · Answer

$$f(x) = \left\{\begin{array}{rcc}
3x^2-6 & \text{if}  & x > -4 \
\frac{1}{2}x+5& \text{if}  & x\leq -3
\end{array}
\right.
$$

anonymous · Answer

since $-4\leq -3$ use the bottom formula and compute 
$$f(-4)=\frac{1}{2}(-4)+5$$

anonymous · Answer

No the equation on top, instead of -4 its -3

anonymous · Answer

sorry that was a typo
makes no difference though

anonymous · Answer

$$f(x) = \left\{\begin{array}{rcc}
3x^2-6 & \text{if}  & x > -3 \
\frac{1}{2}x+5& \text{if}  & x\leq -3
\end{array}
\right.$$

anonymous · Answer

the part on the right tells you which formula to use

anonymous · Answer

Oh okay

anonymous · Answer

So would it be f(-4)=3? Because when I plugged in -4 to the second equation I got 3

anonymous · Answer

if i i wrote it correctly $\frac{1}{2}x+5$ then you are right

anonymous · Answer

Okay cool. :)