Question

I need help with question 9

Answer 1

9514 1404 393

Answer:

a) yes

b) see attached

c) see discussion

d) neither

e) increasing (2,5); decreasing (-2, 2)

Explanation:

a) The graph passes the vertical line test, so is the graph of a function.

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b) A table of values is attached

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c) Generally, this sort of function would be defined piecewise:

`\displaystyle f(x)=\begin{cases}-(1)/(2)x+1&\text{for }-2\le x<2\\2x-4&\text{for }2\le x \le5\end{cases}`

In the attachment, we have shown the use of the "maximum" function to define it. The effect is the same.

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d) The function has no symmetry about the origin or the y-axis, so is neither odd nor even.

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e) The function is increasing where the line has positive slope, on the interval (2, 5). The function is decreasing where the line has negative slope, on the interval (-2, 2).