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=2x3xy=\dfrac{2}{x^3}\sqrt{x}y=x32​x​    

y=log⁡x(3x)y=\log{}x(3^x)y=logx(3x)  

y=cos⁡xsin⁡xy=\cos{x}\sin{x}y=cosxsinx  

y=∣x∣2tan⁡xy=|x|{}^2\tan{x}y=∣x∣2tanx  

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