topic badge
CanadaON
Grade 12

Polynomial Curve Sketching

Interactive practice questions

If $a\ne0$a0, what is the degree of $ax^n$axn?

Easy
< 1min

Consider the function which has intercepts $\left(-4,0\right)$(4,0), $\left(2,0\right)$(2,0) and $\left(0,3\right)$(0,3).

Easy
1min

Consider the function $f\left(x\right)=-6x^2-4x+5$f(x)=6x24x+5.

Easy
< 1min

Which of the following is the graph of the function $f\left(x\right)=x\left(x+3\right)\left(x-3\right)$f(x)=x(x+3)(x3)?

Easy
< 1min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

12CT.B.1.2

Compare, through investigation using graphing technology, the graphical and algebraic representations of polynomial (i.e., linear, quadratic, cubic, quartic) functions (e.g., investigate the effect of the degree of a polynomial function on the shape of its graph and the maximum number of x-intercepts; investigate the effect of varying the sign of the leading coefficient on the end behaviour of the function for very large positive or negative x-values)

12CT.B.1.3

Describe key features of the graphs of polynomial functions

12CT.B.2.2

Make connections, through investigation using graphing technology, between a polynomial function given in factored form and the x-intercepts of its graph, and sketch the graph of a polynomial function given in factored form using its key features

What is Mathspace

About Mathspace