Selected values of a polynomial function
Determine the degree of the polynomial.
The graph of a quartic polynomial
Determine the number of x-intercepts of
How many times does the graph of change concavity?
Label the absolute minimum A, or explain why this value does not exist.
A polynomial function
The graph of a 6th degree polynomial
Identify all the zeros of
Does the equation
How do you know?
A polynomial has zeros at
What is the minimum degree of the polynomial?
Write an equation for the polynomial in factored form.
What if the y-intercept had to be 864?
Write a new equation.
Let
Find all zeroes of
Rewrite the equation for
Half of the graph of an odd function is shown below. Sketch the other half of the function.
If
Is
Prove your answer algebraically.
True or false: If the statement is true, explain why it must be true using the definitions of even and odd functions. If it is false, provide a counterexample in the Show Your Work tool.
All even functions go through the origin.
True or false: If the statement is true, explain why it must be true using the definitions of even and odd functions. If it is false, provide a counterexample in the Show Your Work tool.
If each term in a polynomial function has an even exponent, the function is even.
Label the absolute maximum B, or explain why this value does not exist.