Finding Domain and Range from Graphs

What does the domain of a function represent?

• The intercept of the function

• The slope of the function

• The x values of the function

• The y values of the function

How do you write the domain of a function that includes all x values between -4 and 3?

• [4, -3]

• [-4, 3]

• (-4, 3)

• (-4, 3]

If a graph has an open circle at x = -6 and a closed circle at x = 6, how would you write the domain?

• (-6, 6)

• [-6, 6)

• [-6, 6]

• (-6, 6]

What is the range of a function if the lowest y value is -4 and the highest y value is 5, with -4 not included?

• (-4, 5]

• [-4, 5]

• [-4, 5)

• (-4, 5)

For a function with an arrow indicating it extends to infinity, what is the domain if it starts at x = 1?

• [1, ∞]

• (1, ∞)

• (1, ∞]

• [1, ∞)

How do you write the range of a downward parabola that extends to negative infinity and has a highest y value of 3?

• (-∞, 3]

• (-∞, 3)

• [-∞, 3]

• [-∞, 3)

If a graph has a jump at x = -1 but includes x = -1, how would you write the domain?

• (-6, 5]

• (-6, 5)

• (-6, -1] ∪ [-1, 5]

• (-6, -1) ∪ (-1, 5]

What is the range of a function if the lowest y value is -4 and the highest y value is 4, with a gap between -2 and 1?

• (-4, -2] ∪ (1, 4]

• [-4, -2) ∪ (1, 4]

• (-4, -2] ∪ [1, 4]

• [-4, -2] ∪ (1, 4]

How do you write the domain of a function that starts at x = -8, stops at x = -4, starts again at x = -2, stops at x = 5, and starts again at x = 7 extending to infinity?

• (-8, -4] ∪ (-2, 5] ∪ (7, ∞]

• [-8, -4) ∪ [-2, 5) ∪ [7, ∞)

• (-8, -4) ∪ (-2, 5) ∪ (7, ∞)

• [-8, -4] ∪ [-2, 5] ∪ [7, ∞]

What is the range of a function that includes y values from -6 to 2 and from 5 to infinity?

• (-6, 2] ∪ (5, ∞]

• [-6, 2) ∪ [5, ∞)

• (-6, 2) ∪ (5, ∞)

• [-6, 2] ∪ [5, ∞)