PreCalc Unit 3 Review

Determine the domain for the function.

f(x) = 2x³ - 9x² + 12x - 4

• All real numbers

• x > 4

• x < 4

Determine the range for the function.

f(x) = -5x^-2

• All real numbers

• y > 0

• y < 0

• y < 2

• x = 0

• x = 2

• y = 2

• y = 0

• x = 1

• (-1, -4)

• (-4, -1)

• (1, 6)

• (6, 1)

Given the graph of the function, determine the sign of the leading coefficient and whether the function has an even or odd degree.

• Positive Leading Coefficient

• Negative Leading Coefficient

• Even Degree

• Odd Degree

Use the Remainder Theorem to evaluate f(x) at x = c for the following.

f(x) = x⁴ - 5x² - 17x + 15 for c = 2

Use the Remainder Theorem to evaluate f(x) at x = c for the following.

f(x) = 3x³ + 6x² - 4x + 1 for c = -3

Use the Factor Theorem to determine which binomials are factors of the function.

f(x) = x⁴ - 5x³ - 19x² + 29x + 42

• (x - 3)

• (x - 7)

• (x + 4)

• (x + 1)

Use the Rational Zero Theorem to determine which of the following are possible rational zeros for the function.

f(x) = x³ - 2x² - 3x + 30