3.2 Graphs of General Power Functions

3.2 Graphs of General Power Functions

Notes and Examples

Fill in the Blank

State the value of the constant k for the function of the form $f\left(x\right)=k\cdot x^a.$  

If  $y=3x^{\frac{1}{4}}$   

Fill in the Blank

State the value of the constant a for the function of the form $f\left(x\right)=k\cdot x^a.$  

If  $y=3x^{\frac{1}{4}}$  

Without Graphing

Using the equation

 $y=3x^{\frac{1}{4}}$ and the graph set at the right, would the graph of this function look more like a, b, c, d, e, f, g, or h?

Answer on the next slide.

Fill in the Blank

Which graph from the previous slide matches the graph of the function best?

Multiple Choice

Still without graphing the function, $y=3x^{\frac{1}{4}}$ determine whether its graph is 

• even

• odd

• undefined for  $x<0$  

Assignment:

3.2 Graphs of General Power Functions