Questions from General Calculus


Q: What five operations on functions are discussed in this chapter? Give

What five operations on functions are discussed in this chapter? Give an example of each.

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Q: What is a zero of a function?

What is a zero of a function?

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Q: Give two methods for finding the zeros of a quadratic function.

Give two methods for finding the zeros of a quadratic function.

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Q: In Exercises 51–54, find the points of intersection of

In Exercises 51–54, find the points of intersection of the graphs of the functions. (Use the specified viewing window.) f (x) = 1 / x; g(x) = √(x2 – 1); [0, 4] by [-1, 3]

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Q: Relate to the function whose graph is sketched in Fig. 12

Relate to the function whose graph is sketched in Fig. 12. What is the range of f?

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Q: In Exercises 7–12, express f (x) +

In Exercises 7–12, express f (x) + g(x) as a rational function. Carry out all multiplications. f (x) = x + 6 / x – 6, g(x) = x – 6 / x + 6

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Q: A frozen yogurt stand makes a profit of P(x)

A frozen yogurt stand makes a profit of P(x) = .40x – 80 dollars when selling x scoops of yogurt per day. (a) Find the breakeven sales level, that is, the level at which P(x) = 0. (b) What sales leve...

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Q: State the six laws of exponents.

State the six laws of exponents.

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Q: In the formula A = P(1 + i)n

In the formula A = P(1 + i)n, what do A, P, i, and n represent?

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Q: Simplify (81)3/4, 85/3,

Simplify (81)3/4, 85/3, and (.25)-1.

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