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tresset_1 [31]
3 years ago
6

Can someone help?Express the function graphed on the axes below as a piecewise function.​

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
7 0

Answer:

\displaystyle f(x) = \begin{cases}  x+3 & \text{if $-5

Step-by-step explanation:

Observing the graph, we see two functions:

f(x)=x+3 but x<0 and x>-5

f(x)=-\frac{1}{2}x-1 but x>0 and x≤6

Because the domain is restricted for both functions and there's a jump discontinuity at x=0, this is a piecewise function. This is how it would be notated:

\displaystyle f(x) = \begin{cases}  x+3 & \text{if $-5

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