Solve Functions Precalculus

Write the following in interval notation
x > 6 and x ≤ 10

• (-∞, 6) and (10, ∞)
• [6, 10)
• (-∞, 6] and [10, ∞)
• (6, 10]

Look at the picture. Select the correct interval notation for the given number line.

• (-∞, -8] U [-4, ∞)

• (-∞, -8) U (-4, ∞)

• (-8, -4)

• [-8, -4]

Express the following interval in inequality notation:

(-7, 15]

• -7 ≤ x ≤ 15

• -7 < x ≤ 15

• -7 ≤ x < 15

• -7 < x < 15

Using the pictured graph, what is f(2)?

• -2

• 0

• 3

• 2

Over what interval is this function constant?

• ( - ∞ , 2 )

• ( - ∞ , 2 ]

• [ 2 , ∞ )

• ( 2 , ∞ )

Over what interval is the function increasing?

• ( - ∞ , -4 ) U ( 2 , ∞ )

• ( 2 , ∞ )

• ( - ∞ , -4 ) U [ 2 , ∞ )

• ( -4 , 2 )

What is the range of the function?

• ( - ∞ , 2 )

• ( - ∞ , 2 ]

• ( - ∞ , - 3 ) U ( - 3 , 2 )

• ( - ∞ , - 3 ) U ( - 3 , 2 ]

What is the domain of the function?

• ( - ∞ , - 5 ) U ( - 5 , ∞ )

• ( - ∞ , 5 ) U ( 5 , ∞ )

• ( - ∞ , - 5 ] U [ - 5 , 5 ] U [ 5 , ∞ )

• ( - ∞ , - 5 ) U ( - 5 , 5 ) U ( 5 , ∞ )

What is the domain of the function?

• [ 3 , ∞ )

• ( - ∞ , 3 ] U [ 3 , ∞ )

• ( - ∞ , - 3 ) U ( - 3 , ∞ )

• ( - ∞ , - 3 ] U [ - 3 , ∞ )

What is the domain of the function?

• [ 0 , ∞ )

• ( - ∞ , - 8 ) U ( - 8 , 8 ) U ( 8 , ∞ )

• ( - ∞ , - 8 ] U [ - 8 , 8 ] U [ 8 , ∞ )

• [ 0 , 8 ) U ( 8 , ∞ )