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