For the following exercises, find (f g) and the domain for (f g)(x) for each pair of

For the following exercises, determine whether the relation is a function. {(a, b), (c, d), (e, d)}

For the following exercises, determine whether the relation is a function. {(5, 2), (6, 1), (6, 2), (4, 8)}

For the following exercises, determine whether the relation is a function. y 2 + 4 = x, for x the independent variable and y the dependent variable

Is the graph in Figure 1 a function?

For the following exercises, evaluate the function at the indicated values: f(3); f (2); f(a); f(a); f (a + h). f(x) = 2x 2 + 3x

For the following exercises, evaluate the function at the indicated values: f(3); f (2); f(a); f(a); f (a + h). f(x) = 23x 1

For the following exercises, determine whether the functions are one-to-one. f(x) = 3x + 5

For the following exercises, determine whether the functions are one-to-one. f(x) = x 3

For the following exercises, use the vertical line test to determine if the relation whose graph is provided is a function.

For the following exercises, use the vertical line test to determine if the relation whose graph is provided is a function.

For the following exercises, use the vertical line test to determine if the relation whose graph is provided is a function.

For the following exercises, graph the functions. f(x) = x + 1

For the following exercises, graph the functions.f(x) = x 2 2

For the following exercises, use Figure 2 to approximate the values. f(2)

For the following exercises, use Figure 2 to approximate the values. f(2)

For the following exercises, use Figure 2 to approximate the values. If f(x) = 2, then solve for x.

For the following exercises, use Figure 2 to approximate the values. If f(x) = 1, then solve for x.

For the following exercises, use the function h(t) = 16t 2 + 80t to find the values. h(2) h(1) 2 1

For the following exercises, use the function h(t) = 16t 2 + 80t to find the values. h(a) h(1) a 1

For the following exercises, find the domain of each function, expressing answers using interval notation. f(x) = _ 2 3x + 2

For the following exercises, find the domain of each function, expressing answers using interval notation. f(x) = ___________ x 3 x2 4x 12

For the following exercises, find the domain of each function, expressing answers using interval notation. f(x) = _ x 6 x 4

Graph this piecewise function: f(x) = { x + 1 x < 2 2x 3 x 2

For the following exercises, find the average rate of change of the functions from x = 1 to x = 2. f(x) = 4x 3

For the following exercises, find the average rate of change of the functions from x = 1 to x = 2.. f(x) = 10x2 + x

For the following exercises, find the average rate of change of the functions from x = 1 to x = 2. f(x) = _ 2 x2

For the following exercises, use the graphs to determine the intervals on which the functions are increasing, decreasing, or constant.

For the following exercises, use the graphs to determine the intervals on which the functions are increasing, decreasing, or constant.

For the following exercises, use the graphs to determine the intervals on which the functions are increasing, decreasing, or constant.

Find the local minimum of the function graphed in Exercise 27.

Find the local extrema for the function graphed in Exercise 28.

For the graph in Figure 3, the domain of the function is [3, 3]. The range is [10, 10]. Find the absolute minimum of the function on this interval.

Find the absolute maximum of the function graphed in Figure 3.

For the following exercises, find (f g)(x) and (g f)(x) for each pair of functions. f(x) = 4 x, g(x) = 4x

For the following exercises, find (f g)(x) and (g f)(x) for each pair of functions. f(x) = 3x + 2, g(x) = 5 6x

For the following exercises, find (f g)(x) and (g f)(x) for each pair of functions. f(x) = x 2 + 2x, g(x) = 5x + 1

For the following exercises, find (f g)(x) and (g f)(x) for each pair of functions.f(x) = x + 2 , g(x) = _1 x

For the following exercises, find (f g)(x) and (g f)(x) for each pair of functions. f(x) = _____ x + 3 2 , g(x) = 1 x

For the following exercises, find (f g) and the domain for (f g)(x) for each pair of functions. f(x) = _ x + 1 x + 4 , g(x) = __1 x

For the following exercises, find (f g) and the domain for (f g)(x) for each pair of functions.f(x) = _ 1 x + 3 , g(x) = _ 1 x 9

For the following exercises, find (f g) and the domain for (f g)(x) for each pair of functions. f(x) = _ 1 x , g(x) = x

For the following exercises, find (f g) and the domain for (f g)(x) for each pair of functions. f(x) = _ 1 x2 1 , g(x) = x + 1

For the following exercises, express each function H as a composition of two functions f and g where H(x) = (f g)(x). H(x) = _______ ______ 2x 1 3x + 4

For the following exercises, express each function H as a composition of two functions f and g where H(x) = (f g)(x). H(x) = _ 1 (3x2 4)3

For the following exercises, sketch a graph of the given function. f(x) = (x 3)2

For the following exercises, sketch a graph of the given function.f(x) = (x + 4)3

For the following exercises, sketch a graph of the given function. f(x) = x + 5

For the following exercises, sketch a graph of the given function. f(x) = x3

For the following exercises, sketch a graph of the given function. f(x) = 3 x

For the following exercises, sketch a graph of the given function. f(x) = 5 x 4

For the following exercises, sketch a graph of the given function. f(x) = 4[x 2 6]

For the following exercises, sketch a graph of the given function. f(x) = (x + 2)2 1

For the following exercises, sketch the graph of the function g if the graph of the function f is shown in Figure 4. g(x) = f(x 1)

For the following exercises, sketch the graph of the function g if the graph of the function f is shown in Figure 4.g(x) = 3f(x)

For the following exercises, write the equation for the standard function represented by each of the graphs below.

For the following exercises, write the equation for the standard function represented by each of the graphs below.

For the following exercises, determine whether each function below is even, odd, or neither. f(x) = 3x4

For the following exercises, determine whether each function below is even, odd, or neither.g(x) = x

For the following exercises, determine whether each function below is even, odd, or neither. h(x) = _1 x + 3x

For the following exercises, analyze the graph and determine whether the graphed function is even, odd, or neither.

For the following exercises, analyze the graph and determine whether the graphed function is even, odd, or neither.

For the following exercises, analyze the graph and determine whether the graphed function is even, odd, or neither.

For the following exercises, write an equation for the transformation of f(x) = | x |.

For the following exercises, write an equation for the transformation of f(x) = | x |.

For the following exercises, write an equation for the transformation of f(x) = | x |.

For the following exercises, graph the absolute value function. f(x) = |x 5 |

For the following exercises, graph the absolute value function.f(x) = |x 3 |

For the following exercises, graph the absolute value function.f(x) = |2x 4 |

For the following exercises, find f 1 x) for each function. f(x) = 9 + 10x

For the following exercises, find f 1 (x) for each function.f(x) = _ x x + 2

For the following exercise, find a domain on which the function f is one-to-one and non-decreasing. Write the domain in interval notation. Then find the inverse of f restricted to that domain. f(x) = x2 + 1

Given f(x) = x3 5 and g(x) = 3 x + 5 : a. Find f(g(x)) and g(f(x)). b. What does the answer tell us about the relationship between f(x) and g(x)?

For the following exercises, use a graphing utility to determine whether each function is one-to-one. f(x) = _ 1 x

For the following exercises, use a graphing utility to determine whether each function is one-to-one. f(x) = 3x2 + x

For the following exercises, use a graphing utility to determine whether each function is one-to-one.If f(5) = 2, find f 1 (2).

For the following exercises, use a graphing utility to determine whether each function is one-to-one. If f(1) = 4, find f 1 (4).