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Serga [27]
3 years ago
6

Please someone explain how to solve this piecewise function!!!! Im super confused

Mathematics
1 answer:
Xelga [282]3 years ago
7 0

Answer:

From top to bottom:

0, 1, 2, -8, -8

Step-by-step explanation:

We are given the piecewise function:

g(x) = \left\{        \begin{array}{ll}            0.5x+1 & \text{if } x \leq 2 \\            -8 & \text{if } x > 2        \end{array}    \right.

Row 1:

We want to find g(-2).

Since -2 is less than (or equal to) 2, we will use the first equation. Thus:

g(-2)=0.5(-2)+1=-1+1=0

Row 2:

Likewise, 0 is less than or equal to 2. We will continue to use the first equation:

g(0)=0.5(0)+1=1

Row 3:

2 is not less than 2 but it is equal to 2. So we will continue to use the first equation:

g(2)=0.5(2)+1=1+1=2

Row 4 and 5:

Both 4 and 6 are greater than 2. Thus, we will use the second equation. Therefore:

g(4)=-8\text{ and } g(6)=-8

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