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3. Consider the following function. \begin{equation*} g(x) = \begin{cases} 2x + 6, & x \le 0 \\ -x, & x > 0 \end{cases} \end{equation*} (a) Evaluate $g(3)$ and $g(-2)$. (b) Find the value(s) of $c$ such that $g(c) = 4$.

          3. Consider the following function.
\begin{equation*}
g(x) = \begin{cases} 2x + 6, & x \le 0 \\ -x, & x > 0 \end{cases}
\end{equation*}
(a) Evaluate $g(3)$ and $g(-2)$.
(b) Find the value(s) of $c$ such that $g(c) = 4$.
        
3. Consider the following function.

    g(x) =  2x + 6,     x ≤ 0 
     -x,     x > 0

(a) Evaluate g(3) and g(-2).
(b) Find the value(s) of c such that g(c) = 4.

Added by Christina B.

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Precalculus with Limits
Precalculus with Limits
Ron Larson 2nd Edition
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Consider the the following function. g(x)={(2x+6,x<=0),(-x,x>0):} (a) Evaluate g(3) and g(-2). (b) Find the value(s) of c such that g(c)=4. 3. Consider the the following function 0 > x x>0 a) Evaluate g(3) and g(-2) (b) Find the value(s) of c such that q(c) = 4.
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Transcript

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00:01 This problem deals with evaluating functions given certain values for your variables, in this case, x within your function.
00:10 So my function, g of x is equal to x squared plus 3x, is a quadratic function, and i'm asked to determine g of 2, i'm asked to determine g of negative 2, and i'm asked to determine g of 0.
00:28 So we're going to plug in, in this case, the value of two for everywhere you see an x.
00:35 So i've got x squared and i've got 3x.
00:37 Now, remember what x squared means.
00:40 X squared is just x times itself, x times x.
00:43 So a number squared is a number times itself.
00:46 And then 3x is equal to 3 multiplied by x.
00:51 So that's important to remember.
00:53 We also need to think about our order of operations.
00:55 So we'll need to think about using either bedmass or pemdas, whatever you're familiar with, while solving these because we'll have more than one operation to solve.
01:09 So g of 2 means i'm going to substitute 2 in for x, wherever i see an x, and let's start solving this now.
01:19 So according to bedmass and pemdast, i'm going to do the exponent first.
01:22 So 2 squared is equal to 4.
01:25 And then i need to multiply three times two next.
01:31 So multiply three times two next, which gives me six.
01:37 So it becomes four plus six, which means our answer is equal to ten.
01:42 We just add those up.
01:43 So g of two is equal to ten...
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