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2.1 Practice

Last updated over 2 years ago

19 questions

Check Your Understanding on "Can We Predict Stock Values?"

1

Selected values of a polynomial function f are given.
Determine the degree of the polynomial.

The graph of a quartic polynomial y=f(x) is shown.

1

Determine the number of x-intercepts of f.

1

Determine the number of relative minima and relative maxima and label them.
Relative minima: _______ 
Relative maxima:  _______ 

1

How many times does the graph of change concavity?

1

Label the absolute minimum A, or explain why this value does not exist.

1

Label the absolute maximum B, or explain why this value does not exist.

1

A polynomial function g has x-intercepts at x=0 and x=4. Which of the following statements must be true?

Check Your Understanding on "What’s Up With the Zeros?"

The graph of a 6th degree polynomial y=g(x) is shown.

1

Identify all the zeros of g and state their multiplicity.

1

Does the equation g(x)=0 have any imaginary solutions?
How do you know?

A polynomial has zeros at x=4 (with a multiplicity of 2), x=-2, and x=3i.

1

What is the minimum degree of the polynomial?

1

Write an equation for the polynomial in factored form.

1

What if the y-intercept had to be 864?
Write a new equation.

Let f(x)=(x+6)(x^{2}+2x+5).

1

Find all zeroes of f.

1

Rewrite the equation for f(x) in fully factored form (only linear factors).

Check Your Understanding on "Who is the Fairest of Them All?"

1

Half of the graph of an odd function is shown below. Sketch the other half of the function.

1

If (3,-18) is on the graph of an even function, what other point is guaranteed to be on the graph?

1

Is y=x^{5}+x^{3}+3 an even function, an odd function, or neither?
Prove your answer algebraically.

1

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.

1

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.