Over Chapter 1 Determine whether the relation y

Over Chapter 1 Determine whether the relation y 2 – 4 x = 3 represents y as a function of x. A. yes B. no

Over Chapter 1 Describe the end behavior of f (x) = 4 x 4 + 2 x – 8. A. B. C. D.

Over Chapter 1 Identify the parent function f (x) of g (x) = 2|x – 3| + 1. Describe how the graphs of g (x) and f (x) are related. A. f (x) = | x |; f (x) is translated 3 units right, 1 unit up and expanded vertically to graph g (x). B. f (x) = | x |; f (x) is translated 3 units right, 1 unit up and expanded horizontally to graph g (x). C. f (x) = | x |; f (x) is translated 3 units left, 1 unit up and expanded vertically to graph g (x). D. f (x) = | x |; f (x) is translated 3 units left, 1 unit down and expanded horizontally to graph g (x).

Over Chapter 1 Evaluate f (2 x) if f (x) = x 2 + 5 x + 7. A. 2 x 2 + 10 x + 7 B. 2 x 3 + 10 x 2 + 7 C. 4 x 2 + 10 x + 7 D. 4 x 2 + 7 x + 7

• power function • monomial function • radical function • extraneous solution

Analyze Monomial Functions A. Graph and analyze . Describe the domain, range, intercepts, end behavior, continuity, and where the function is increasing or decreasing. Evaluate the function for several x-values in its domain. Then use a smooth curve to connect each of these points to complete the graph.

Analyze Monomial Functions Answer: D = (–∞, ∞); R = [0, ∞); intercept: 0; continuous for all real numbers; decreasing: (–∞, 0) , increasing: (0, ∞)

Analyze Monomial Functions B. Graph and analyze f (x) = –x 5. Describe the domain, range, intercepts, end behavior, continuity, and where the function is increasing or decreasing.

Analyze Monomial Functions Answer: D = (–∞, ∞); R = (–∞, ∞); intercept: 0; continuous for all real numbers; decreasing: (–∞, 0)

Describe where the graph of the function f (x) = 2 x 4 is increasing or decreasing. A. increasing: (–∞, ∞) B. increasing: (–∞, 0) , decreasing: (0, ∞) C. decreasing: (–∞, ∞) D. increasing: (–∞, 0), decreasing: (0, ∞)

Functions with Negative Exponents A. Graph and analyze f (x) = 2 x – 4. Describe the domain, range, intercepts, end behavior, continuity, and where the function is increasing or decreasing.

Functions with Negative Exponents Answer: D = (– ∞, 0) (0, ∞); R = (0, ∞); ; infinite discontinuity at x = 0; increasing: (–∞, 0), decreasing: (0, ∞);

Functions with Negative Exponents B. Graph and analyze f (x) = 2 x – 3. Describe the domain, range, intercepts, end behavior, continuity, and where the function is increasing or decreasing.

Functions with Negative Exponents D = (–∞, 0) (0, ∞); R = (–∞, 0) (0, ∞); intercept: none; end behavior: continuity: infinite discontinuity at x = 0; decreasing: (–∞, 0) and (0, ∞)

Functions with Negative Exponents Answer: D = (–∞, 0) (0, ∞); R = (–∞, 0) (0, ∞); ; infinite discontinuity at x = 0; decreasing: (–∞, 0) and (0, ∞)

Describe the end behavior of the graph of f (x) = 3 x – 5. A. B. C. D.

Rational Exponents A. Graph and analyze. Describe the domain, range, intercepts, end behavior, continuity, and where the function is increasing or decreasing.

Rational Exponents Answer: D = [0, ∞); R = [0, ∞); intercept: 0; ; continuous on (0, ∞); increasing: (0, ∞)

Rational Exponents B. Graph and analyze. Describe the domain, range, intercepts, end behavior, continuity, and where the function is increasing or decreasing.

Rational Exponents Answer: D = (–∞, 0) (0, ∞); R = (0, ∞); ; infinite discontinuity at x = 0; increasing: (–∞, 0), decreasing: (0, ∞)

Describe the continuity of the function A. continuous for all real numbers B. continuous on C. continuous on D. continuous on and .