Precalculus Study Guide 9.18.25

Which of the following relations represents a function?

• A circle

• A downward-opening parabola

• A sideways ellipse

• Both B and C

Which interval notation correctly represents all numbers greater than –1 and less than or equal to 6?

• (–1, 6]

• [–1, 6]

• (–1, 6)

• [–1, 6)

Tags

CCSS.6.EE.B.8

Which interval notation correctly represents all numbers greater than –1 and less than or equal to 6?

• (–1, 6]

• [–1, 6]

• (–1, 6)

• [–1, 6)

Tags

CCSS.6.EE.B.8

Find the domain of f(x) = 1/(x + 3).

• All real numbers except x = –3

• All real numbers

• All real numbers except x = 3

• (–∞, ∞)

What is the slope of the line passing through the points (–2, 7) and (4, –5)?

• –2

• –3

• –1/2

• 2

Tags

CCSS.8.EE.B.5

Which of the following is in the general linear form?

• y = –3x + 4

• 2x – y + 6 = 0

• y = (3/4)x – 1

• (x + 2)(y – 1) = 0

Determine whether the relation below represents a function. Justify your answer using the Vertical Line Test. { (-3, 2), (0, -1), (2, 4), (2, 5) }

• No, it does not represent a function because the x-value 2 is paired with two different y-values (4 and 5).

• Yes, it represents a function because each y-value is unique.

• Yes, it represents a function because each x-value is paired with a y-value.

• No, it does not represent a function because the y-value -1 is repeated.

Tags

CCSS.8.F.A.1

Find the domain and range of the function f(x) = √(x - 1). Write your answer in interval notation.

• Domain: [1, ∞), Range: [0, ∞)

• Domain: (-∞, ∞), Range: (-∞, ∞)

• Domain: (0, ∞), Range: (1, ∞)

• Domain: [0, ∞), Range: [1, ∞)

Find the equation of the line with slope m = 3/2 that passes through the point (-2, 0). Write your answer in slope-intercept form.

• y = (3/2)x + 3

• y = (3/2)x - 3

• y = (2/3)x + 3

• y = (3/2)x + 2

Graph the function y = (1/2)x - 4. Label the intercepts clearly.

• y-intercept: (0, -4), x-intercept: (8, 0)

• y-intercept: (0, 4), x-intercept: (-8, 0)

• y-intercept: (0, 2), x-intercept: (4, 0)

• y-intercept: (0, -2), x-intercept: (2, 0)

Tags

CCSS.HSF-IF.C.7A