LHS Functions Unit 1 FlashCards Translations and Properties

What is the Domain AND Range of: g(x)=|x−1|+2

• Domain: all real numbers (−∞,∞); Range: [2, ∞]

• Domain: (−∞, 1); Range: [0, 2]

• Domain: [1, ∞); Range: (2, ∞)

• Domain: (−∞, ∞); Range: (2, ∞)

Name the function

• Inverse squared

• Linear function

• Exponential function

• Quadratic function

Table for Absolute Value Function

What is the value of a(x) = |x| when x = -1?

• 0

• 1

• 2

• -1

Table for Quadratic Function [-2 , 2]

What is the value of q(x) when x = -2 for the function q(x) = x²?

• 0

• 1

• 4

• 2

Name the function

• Inverse Function

• Linear Function

• Quadratic Function

• Exponential Function

If I draw a line that just barely touches a graph in only one place, what is the name of the line?

• a Tangent line

• a Secant line

• a Chord line

• a Normal line

Definition of composite function

• A composite function is formed by substituting one function into another.

• A composite function is the sum of two functions.

• A composite function is the product of two functions.

• A composite function is the difference between two functions.

Characteristics of Cubic Function

• The cubic function is an even function and is symmetric about the y-axis.

• The cubic function is an odd function and is symmetric about the origin.

• The cubic function has a maximum point and is symmetric about the x-axis.

• The cubic function is a linear function and has no symmetry.

If f(x) = 3x - 2 and g(x) = x + 4,

then (f·g)(x) = ?

• 3x² + 10x - 8

• 3x² + 10x + 8

• 3x² - 10x - 8

• 3x² - 10x + 8

Name the function

• Tangent

• Cosine

• Sine

• Secant