First Four Parent Functions Review

A parent function is the simplest function of a family of functions that preserves the definition (or shape) of the entire family. Which of the following is an example of a parent function?

•  $y=5x^2-2$  

•  $y=x^2+10x-2$  

•  $y=2x^2$  

•  $y=x^2$  

A quadratic function is a polynomial function whose highest exponent on the variable is 2. Which of the following is a quadratic function?

•  $y=x^3+2x^2-x+7$  

•  $y=2x^2-3x^4+4$  

•  $y=2x-7x^2$  

•  $y=8x-13$  

A cubic function is a polynomial function whose highest exponent on the variable is what value?

• 1

• 2

• 3

• 4

Which of the following are cubic functions? (Select all that apply.)

• $y=5x^3-2x^2+7x-1$

• $y=\frac{1}{4}x^3$

• $y=x-x^2+x^3$

• $y=4x^2-3x^3$

Which of the following parent functions has a graph that has no left side? (No points on the graph with negative x-coordinates)

• Quadratic

• Cubic

• Square Root

• Cube Root

Why can't you take the square root of a negative number?

• No real number exists such that squaring that number would produce a negative number.

• It's a lie! Of course you can take the square root of a negative number.

• Because Ms M says so and I trust her implicitly.

• Because if you try it in the calculator, it gives you a nasty decimal.