mats answers

1)
5/5
Classify as a polynomial, a power function, or a rational function. y = x/(x+1)^2
(5pts)

Polynomial

Power Function

Rational Function

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2)
5/5
Sketch a graph of the function. Find the x and y intercepts. f(x) = -x^3 + 1
(5pts)

x-intercepts (-1, 0) (1, 0) y-intercept (0, 1)

x-intercept (1, 0) y-intercept (0, 1)

x-intercepts (-1, 0) (1, 0) y-intercept (0, -1)

x-intercept (-1, 0) y-intercept (0, -1)

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3)
5/5
Classify as a polynomial, a power function, or a rational function. y = -2 + 3x^2 + 5x^4
(5pts)

Polynomial

Power Function

Rational Function

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4)
5/5
Classify as a polynomial, a power function, or a rational function. y = x^1.4
(5pts)

Polynomial

Power Function

Rational Function

5)
5/5
A manufacturer can produce cassette tape recorders at a cost of $40 apiece. It is estimated that if the tape recorders are sold for p dollars apiece, consumers will buy 120 - p of them a month. Express the manufacturer's monthly profit as a function of price, graph this function, and use the graph to estimate the optimal selling price.
(5pts)

P = (p + 40)(120 - p), Optimal $160

P = (40 - p)(120 - p), Optimal $160

P = (p + 40)(120 - p), Optimal $80

P = (40 - p)(120 - p), Optimal $80

1)
5/5
Find the equation for the line with the give properties.
Through (5, -2) with slope 1/2.
(5pts)

y = (1/2)x + 1/2

y = (1/2)x - 1/2

y = (-1/2)x + 1/2

y = (-1/2)x - 1/2

2)
5/5
Write an equation for the line with the given properties.
Through (-2, 3) and (0, 5)
(5pts)

y = 1x - 5

y = 1x + 5

y = 5

y = -5

3)
5/5
Membership in a swimming club costs $250 for the 12-week summer season. If a member joins after the start of the season the fee is prorated; that is, it is reduced linearly. Compute the cost of a membership that is purchased 5