G10 ADV T3 SBQ2 - Topic 8 Review

As x → −∞, f(x) → [−∞] and as x → ∞, f(x) → [∞]. Which function does this describe?

• f(x) = 5x³

• -4x⁹

• x⁴

• -x⁴

As x → −∞, f(x) → [∞] and as x → ∞, f(x) → [−∞]. Which function does this describe?

• f(x) = 5x³

• -4x⁹

• x⁴

• -x⁴

For which function does the range only include values of f(x) that are greater than or equal to zero?

• x⁴

• -x⁴

• x⁵

• -x⁵

Select the domain and range of the function f(x) = 3x⁸.

• The domain and range are both all real numbers.

• The domain is {x | x ≥ 0}, and the range is {f(x) | f(x) ≥ 0}.

• The domain is {x | x ≥ 0}, and the range is all real numbers.

• The domain is all real numbers, and the range is {f(x) | f(x) ≥ 0}.

What is the degree of the function f(x) = -2x⁴ + 3x⁵ - 4x³ + 9x² + 2x - 5?

• 4

• 3

• 5

• 2

What is the leading coefficient of the function f(x) = -2x⁴ + 3x⁵ - 4x³ + 9x² + 2x - 5?

• -2

• 9

• 3

• -4

What is the value of the function f(x) = -2x⁴ + 3x⁵ - 4x³ + 9x² + 2x - 5 when x = 2?

• 67

• 5

• -5

• 0

What is the value of the function f(x) = -2x⁴ + 3x⁵ - 4x³ + 9x² + 2x - 5 when x = 0?

• 0

• -5

• 2

• 5

Use the function f(x) = 14x⁴y³ – 8x⁵y – 11x³y⁵ + 9x²y⁴ + 2xy – 5 to complete these sentences. What is the degree of the function?

• 5

• 7

• 8

• 9

Use the function f(x) = 14x⁴y³ – 8x⁵y – 11x³y⁵ + 9x²y⁴ + 2xy – 5 to complete these sentences. What is the leading coefficient?

• 14

• -8

• 9

• -11