Polynomial Graphing Characteristics

How many relative minimums does this graph have?

• None

• 1

• 2

• 3

What is the degree of the polynomial shown in the image?

• 1

• 2

• 3

• 4

Is the leading coefficient for the polynomial shown positive or negative?

• Negative

• Positive

• Cannot be determined

What is the leading coefficient for the polynomial in the image and is the degree even or odd?

• Negative and even

• Positive and even

• Negative and odd

• Positive and odd

Select ALL the statements that are true.

• Each x-intercept has an odd multiplicity.

• The numeric degree is 6.

• There is not an absolute maximum but there are two relative maximums.

• The degree is even and the leading coefficient is positive.

Which characteristics are correct for the graph?

• a < 0

  3 distinct real zeros

  1 zero with multiplicity 2

• a > 0

  3 distinct real zeros

  1 zero with multiplicity 2

• a > 0

  3 distinct real zeros

  no zeros with multiplicity 2

• a < 0

  3 distinct real zeros

  no zeros with multiplicity 2

Given the polynomials: c(x)=x^3-15x^2+72x-112 a(x)=x^2+5 k(x)=x^3+21x^2+144x+324 e(x)=2x^2+28x+96 match each polynomial function to its graph.

• 
• 
• 
• 

Payton was asked to sketch a graph of a function that met the following criteria:

I. The leading coefficient is negative.

II. (x+3) is a factor of f(x).

III. f(x) has an odd degree.

IV. f(x) has an x-intercept at x=5

with multiplicity 3.

• III only

• II and III only

• III and IV only

• I, II, III, and IV

Match the graph to the function

• f(x) = x⁵-1

• f(x) = x⁵-6x³+8x+1

• f(x) = x³+8x+1

• f(x) = -x⁵-6x³+8x+1

Tags

CCSS.HSA.APR.B.3

Describe the polynomial. Choose two correct answers.

• Positive 

• Negative

• Odd 

• Even