Combining Families of Functions

5 Activities

Wize High School Algebra II Textbook (Common Core) > Combination of Functions

5 Activities

Practice: Combining Families of Functions

Match the graph to the function. 

y=∣x∣(x+1)23y=|x|\sqrt[3]{(x+1)^2}y=∣x∣3(x+1)2​   

y=1xcos⁡x2y=\dfrac{1}{x}\cos{x^2}y=x1​cosx2    

y=∣x∣(0.5x)y=|x|(0.5^x)y=∣x∣(0.5x)  

y=1x2log⁡xy=\dfrac{1}{x^2}\log_{}xy=x21​log​x   

I don't know

Practice: Combining Families of Functions
Is the function f(x)=x2x2−6f(x)=\dfrac{x^2}{x^2-6}f(x)=x2−6x2​ even, odd, or neither?

Practice: Combining Families of Functions
Is the function f(x)=xx2−1f(x)=x\sqrt{x^2-1}f(x)=xx2−1​ even, odd, or neither?

Practice: Combining Families of Functions
A combined function is shown below. 
What are the intervals of increasing and decreasing?

Practice: Combining Families of Functions
A combined function is shown below. 
What are the intervals of increasing and decreasing?

Practice: Combining Families of Functions
Match the graph to the function. 

Practice: Combining Families of Functions
Is the function f(x)=x2x2−6f(x)=\dfrac{x^2}{x^2-6}f(x)=x2−6x2​ even, odd, or neither?

Practice: Combining Families of Functions
Is the function f(x)=xx2−1f(x)=x\sqrt{x^2-1}f(x)=xx2−1​ even, odd, or neither?

Practice: Combining Families of Functions
A combined function is shown below. 
What are the intervals of increasing and decreasing?

Practice: Combining Families of Functions
A combined function is shown below. 
What are the intervals of increasing and decreasing?

Practice: Combining Families of Functions
Match the graph to the function. 

Practice: Combining Families of Functions