# Polynomials of the form f(x)=ax^n+b

- Author:
- mathtasksproj

The graph below shows the function , you can use the slider to change the value of a, n and b and change the function and its graph. Use it to answer the questions below.

## f(x)

Change the sliders and find an example of a 1-1 function of the form .

Find a different example of a function of the form that is onto.

Give an example of a function of the form so that for all values of x.

Give an example of a function of the form that is invertible.

Which of these properties of are true, when we take a=-6, n=-1, b=5?