A.4.4.2 Four Functions

Here is a "function machine" This a function takes any input and cubes it to generate the output. Find the output when the inputs are 0, 1, 3, and x, use function notation and the function g.

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Some functions have a specific rule for getting its output. The rule can be described in words (like “cube the input”) or with expressions (such as x^3). Now we'll look at some rules expressed in both ways.

Here are descriptions and equations that represent four functions. A. To get the output, subtract 7 from the input, then divide the result by 3. B. To get the output, subtract 7 from the input, then multiply the result by 3. C. To get the output, multiply the input by 3, then subtract 7 from the result. D. To get the output, divide the input by 3, and then subtract 7 from the result. Match each equation with a verbal description that represents the same function. Record your results.

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The expressions for functions f and g both involve multiplying by 3 and subtracting 7. How are they different?

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For one of the functions, when the input is 6, the output is -3. Which is that function: f, g, h, or k? Explain how you know.

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Which function value—f(x), g(x), h(x), or k(x)—is the greatest when the input is 0? What about when the input is 10?

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A.4.4.2 Four Functions

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