A2 B3 Review 2

Determine and identify the range of a function presented graphically.

• All real numbers

• y >= 0

• y < 0

• No solution

Determine and identify the domain, range, zeros, and intercepts of the function f(x) = x^2 - 4x + 3.

• Domain: All real numbers; Range: y >= -1; Zeros: x = 1, x = 3

• Domain: x >= 0; Range: All real numbers; Zeros: x = -3, x = -1

• Domain: All real numbers; Range: y <= 0; Zeros: x = -1, x = 1

• Domain: x > 0; Range: y > 0; Zeros: None

For the graph of f(x) = 7x^3-28x^2+35x-14, determine the intervals on which the graph is increasing, decreasing, or constant.

• Increasing on (-inf, 1) and (2, inf); Decreasing on (1, 2)

• Decreasing on (-inf, 1); Constant on (1, 2)

• Constant on (-inf, 1); Increasing on (1, inf)

• Increasing on (-inf, 0); Decreasing on (0, 1); Constant on (1, inf)

Determine the intervals on which the graph of f(x) = -x^2 + 4x - 3 is increasing or decreasing.

• Increasing on (-inf, 2); Decreasing on (2, inf)

• Decreasing on (-inf, 2); Increasing on (2, inf)

• Constant on (-inf, 2); Increasing on (2, inf)

• Increasing on (-inf, 1); Decreasing on (1, inf)

For f(x) = x^2 - 6x + 8, identify the absolute maximum or minimum.

• absolute minimum at (3, -1)

• absolute maximum at (3, -1)

• absolute minimum at (4, 0)

• absolute maximum at (4, 0)

Determine the absolute maximum or minimum of f(x) = -x^2 + 4x - 3.

• absolute minimum at (2, -3)

• absolute maximum at (2, 1)

• absolute minimum at (3, 2)

• No absolute extrema

Which of the following represents x^2 - 9?

• (x + 3)(x - 3)

• (x - 3)^2

• (x + 3)^2

• x^2 + 3x - 3

Which expression demonstrates the difference of cubes for x^3 - 8?

• (x - 2)(x^2 + 2x + 4)

• (x - 2)(x^2 - 2x + 4)

• (x + 2)(x^2 + 2x - 4)

• (x + 2)(x^2 - 2x - 4)

Given the zeros x = -1, x = 2, x = 3, what is the factored form of the polynomial?

• (x + 1)(x - 2)(x - 3)

• (x - 1)(x - 2)(x - 3)

• (x + 1)(x + 2)(x + 3)

• x(x + 1)(x - 2)(x - 3)

Write the factored form of the polynomial x^3 - 27.

• (x - 3)(x^2 + 3x + 9)

• (x + 3)(x^2 - 3x + 9)

• (x - 3)^3

• (x + 3)^3