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A piecewise function f(x) is defined as shown.f(x) = StartLayout enlarged left-brace 1st Row 1st column negative five-fourths x + 90, 2nd column 0 less-than-or-equal-to x less-than 40 2nd row 1st column negative three-eighths x + 75, 2nd column 40 less-than-or-equal-to x less-than-or-equal-to 200 EndLayoutWhich table could be used to graph a piece of the function?

A piecewise function f(x) is defined as shown.f(x) = StartLayout enlarged left-brace-example-1
User Xclusive
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1 Answer

6 votes
6 votes

Given:


\begin{gathered} -(5)/(4)x+90,\text{ 0}\leq x<40 \\ -(3)/(8)x+75,40\leq x\leq200 \end{gathered}

Required:

Which table would be used to graph a piece of the function.

Step-by-step explanation:

Here the function is broken at the three points x=0, x=40, x=200.

So we will choose that table in which the values of x are 0,40,200.

In this table, you can see the values of x are 0,40, and 200.

Final Answer:

The correct answer is

A piecewise function f(x) is defined as shown.f(x) = StartLayout enlarged left-brace-example-1
A piecewise function f(x) is defined as shown.f(x) = StartLayout enlarged left-brace-example-2
User Artur Vieira
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2.5k points