Questions from General Calculus


Q: What is a linear function? Constant function? Give examples.

What is a linear function? Constant function? Give examples.

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Q: What are the x- and y-intercepts of a function

What are the x- and y-intercepts of a function, and how are they found?

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Q: What is a quadratic function? What shape does its graph have

What is a quadratic function? What shape does its graph have?

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Q: Define and give an example of each of the following types of

Define and give an example of each of the following types of functions. (a) quadratic function (b) polynomial function (c) rational function (d) power function

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Q: What is meant by the absolute value of a number?

What is meant by the absolute value of a number?

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Q: Let f (x) = x / x - 2,

Let f (x) = x / x - 2, g(x) = 5 – x / 5 + x, and h(x) = x + 1 / 3x - 1. Express the following as rational functions. g(1 / u)

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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: 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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