Analyzing Polynomials (Practice)

What is the maximum number of turning points a polynomial function of degree 5 can have?

• 5

• 3

• 4

• 6

Which of the following functions is odd?

• f(x) = -x^2 + 5

• f(x) = x^3 - 7x

• f(x) = x^4 + x^2 - 1

• f(x) = x^3 + 2

Tags

CCSS.HSF.BF.B.3

If a polynomial function has 3 distinct real zeros, how many turning points does its graph have?

• 4

• 1

• 3

• 2

Which function is symmetric about the y-axis?

• f(x) = x^2 + 5x + 1

• f(x) = x^5 + 3x^3 - x

• f(x) = x^4 - 12x^2

• f(x) = x^5 + 3x^4

Tags

CCSS.HSF.BF.B.3

What is the leading coefficient of the function f(x) = 2x^3 - 3x^2 - 32x - 15?

• 2

• -3

• -32

• -15

Which of the following is a correct method to find real zeros of a polynomial function?

• Graphing the function and estimating the highest point

• Multiplying all the coefficients together

• Using the Location Principle

• Adding all the exponents together

Tags

CCSS.HSF-IF.C.7C

What does the x-intercept of a graph of a polynomial function represent?

• The highest degree of the polynomial

• A zero of the function

• Minimum value of the function

• Maximum value of the function

Tags

CCSS.HSF-IF.C.7C

Which of the following statements about even and odd functions is true?

• An odd function is symmetric about the y-axis.

• An odd function has no symmetry.

• An even function is symmetric about the origin.

• An even function is symmetric about the y-axis.

Tags

CCSS.HSF.BF.B.3

How can you use a graphing calculator to find the turning points of a polynomial function?

• By using the zero feature

• By using the maximum and minimum features

• By calculating the derivative

• By plotting the x-intercepts

What is the effect of a positive leading coefficient on the end behavior of a polynomial function?

• The function increases without bound as x approaches positive infinity.

• The function decreases without bound as x approaches negative infinity.

• The function increases without bound as x approaches negative infinity.

• The function decreases without bound as x approaches positive infinity.