A.6A & A.7A key features and Domain & Range

What is the range of f?

• A. All real numbers

• B. All real numbers greater than or equal to 8

• C. All real numbers greater than or equal to -8

• D. All real numbers greater than or equal to 0

What is the range of g?

• A. All real numbers

• B. All real numbers less than or equal to 1

• C. All real numbers less than or equal to -22

• D. All real numbers greater than or equal to 0

What is the range of y = -x² + 2x - 9?

• x ≤ -9

• x ≤ -8

• y ≤ -9

• y ≤ -8

What is the range of y = x² + 4(x - 2)?

• x ≤ -12

• x ≥ -12

• y ≤ 12

• y ≥ -12

What are the domain and range of h(x) = ⅓(x - 5)² - 32?

• Domain: All real numbers Range: h(x) ≥ -32

• Domain: x ≤ -5 Range: h(x) ≥ -32

• Domain: All real numbers Range: x ≤ -5

• Domain: h(x) ≥ -32 Range: x ≤ -5

What are the domain and range of f(x) = 5x² + 4?

• Domain: All real numbers Range: f(x) ≥ 4

• Domain: x ≥ 0 Range: f(x) ≥ 4

• Domain: All real numbers Range: x ≥ 0

• Domain: f(x) ≥ 4 Range: x ≥ 0

Which graph represents a function with a domain of all real numbers greater than or equal to -3 and less than 5?

• A

• B

• C

• D

Which graph represents a function with a range of all real numbers greater than -2 and less than 3?

• A

• B

• C

• D

A student stood at the edge of a swimming pool and threw a ball into the water. The graph shows the height in feet of the ball above the ground as a quadratic function of x, the horizontal distance in feet of the ball from the edge of the pool. What is the range of the function for this situation?

• 0 ≤ x ≤ 10

• -2 ≤ y ≤ 5

• 0 ≤ y ≤ 10

• -5 ≤ x ≤ 5

What is the domain of the function for this situation?

• A. 2 ≤ x ≤ 14

• B. 10 ≤ y ≤ 16

• C. 2 ≤ y ≤ 14

• D. 10 ≤ x ≤ 16