Parent Functions Review

Parent Functions:
Quiz Review

By Steven Foote

Groups of functions that share similar characteristics. For example, all functions in the linear function family are straight lines when graphed.

Function Families

Parent Functions are the simplest form of a function in its function family.

The "Basic" Function

What is a parent function?

Multiple Choice

The graph shown depicts which type of function?

• Linear Function

• Absolute Value Function

• Quadratic Function

• Cubic Function

Multiple Choice

The function below belongs to what function family?

$$f\left(x\right)=-x^3+10$$

• Exponential Function

• Quadratic Function

• Cubic Function

• Rational Function

Multiple Choice

The shape of the Absolute Value Function graph can be described as:

• V-shaped

• S-Shaped

• U-Shaped

• Straight Diagonal Line

Multiple Choice

The graph shown depicts which type of function?

• Exponential Function

• Rational Function

• Tangent Function

• Cubic Function

Multiple Select

Which of the following have a domain of All Real Numbers? Select all that apply.

• Linear Function

• Exponential Function

• Quadratic Function

• Absolute Value Function

Multiple Choice

The function below belongs to what function family?

$$g\left(x\right)=\left|x+1\right|-4$$

• Cosine Function

• Quadratic Function

• Absolute Value Function

• Rational Function

Multiple Select

Which of the following functions could represent the depicted graph? Select all that apply.

• $$m\left(x\right)=4x^2$$

• $$n\left(x\right)=e^{3x}$$

• $$p\left(x\right)=2e^x$$

• $$q\left(x\right)=2x^2+1$$

Multiple Select

Which of the following have a range of All Real Numbers? Select all that apply.

• Exponential Function

• Cubic Function

• Quadratic Function

• Linear Function

Multiple Choice

Which of the following functions' graphs would be described as "a curve that increases sharply"

• Quadratic Function

• Exponential Function

• Cubic Function

• Linear Function

Multiple Choice

The function below belongs to what function family?

$$v\left(t\right)=\frac{2}{t+1}$$

• Exponential Function

• Quadratic Function

• Cubic Function

• Rational Function

Multiple Choice

BONUS

The graph shown depicts which type of function?

• Logarithmic Function

• Square Root Function

• Sine Function

• Piecewise Function