Exam 1: Extension A: Functions and Models

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If If   ,evaluate the difference quotient  ,evaluate the difference quotient If   ,evaluate the difference quotient

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A rectangle has perimeter 14 m.Express the area of the rectangle as a function A rectangle has perimeter 14 m.Express the area of the rectangle as a function   of the length   of one of its sides. of the length A rectangle has perimeter 14 m.Express the area of the rectangle as a function   of the length   of one of its sides. of one of its sides.

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If f (x)= If f (x)=   find f (-4),f (0),and f (1). find f (-4),f (0),and f (1).

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f (-4)= 19,f (0)= 3,f (1)= 1.

The graphs of f(x) and g(x) are given. Find the values of f(-4) and g(3). The graphs of f(x)  and g(x) are given. Find the values of f(-4) and g(3).

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Which of the following graphs is neither even nor odd?

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If If   ,find and simplify   ,where  ,find and simplify If   ,find and simplify   ,where  ,where If   ,find and simplify   ,where

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The graphs of f(x) and g(x) are given.For what values of x is f(x)= g(x) ? The graphs of f(x) and g(x) are given.For what values of x is f(x)= g(x) ?

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Find an expression for the function y=f(x) whose graph is the bottom half of the parabola Find an expression for the function y=f(x) whose graph is the bottom half of the parabola

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An open rectangular box with volume 2m3 has a square base.Express the surface area of the box as a function An open rectangular box with volume 2m<sup>3</sup> has a square base.Express the surface area of the box as a function   of the length   of a side of the base. of the length An open rectangular box with volume 2m<sup>3</sup> has a square base.Express the surface area of the box as a function   of the length   of a side of the base. of a side of the base.

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Find the domain of the function. Find the domain of the function.

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Find the domain of the function. Find the domain of the function.

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If the point (7, 3) is on the graph of an even function,what other point must also be on the graph?

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The graph of the function The graph of the function   is given.State the value of    is given.State the value of The graph of the function   is given.State the value of    The graph of the function   is given.State the value of

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Refer to the graph of the function f in the following figure. Refer to the graph of the function f in the following figure.    A) Find f (1). B) Find the value of x for which  (i) f(x)= 1and (ii) f(x)=0 C) Find the domain and range of f. A) Find f (1). B) Find the value of x for which (i) f(x)= 1and (ii) f(x)=0 C) Find the domain and range of f.

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Determine whether the function whose graph is given is even,odd,or neither. Determine whether the function whose graph is given is even,odd,or neither.

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The graph shown gives the weight of a certain person as a function of age.Find the age at which the person started an exercise program. The graph shown gives the weight of a certain person as a function of age.Find the age at which the person started an exercise program.

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Find the domain and sketch the graph of the function.What is its range? f (x)= Find the domain and sketch the graph of the function.What is its range? f (x)=

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Determine whether the function is even,odd,or neither. Determine whether the function is even,odd,or neither.

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Find the domain of the function. Find the domain of the function.

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Determine whether f is even,odd,or neither. Determine whether f is even,odd,or neither.

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