Polynomial Graphs Quiz

What is the end behavior of a polynomial graph with an even degree and a positive leading coefficient?

• The graph falls on both ends.

• The graph rises on one end and falls on the other end.

• The graph is a straight line.

• The graph rises on both ends.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the degree of the polynomial graph represented by the equation f(x) = 3x^4 + 2x^3 - 5x^2 + 7x - 1?

• 1

• 4

• 2

• 3

What is the end behavior of a polynomial graph with an odd degree and a negative leading coefficient?

• The graph approaches zero as x approaches negative infinity and approaches zero as x approaches positive infinity.

• The graph approaches positive infinity as x approaches negative infinity and approaches zero as x approaches positive infinity.

• The graph approaches negative infinity as x approaches negative infinity and approaches positive infinity as x approaches positive infinity.

• The graph approaches positive infinity as x approaches negative infinity and approaches negative infinity as x approaches positive infinity.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

How can you find the x-intercepts of a polynomial graph?

• Take the derivative of the polynomial equation and find the x-values where the derivative is equal to zero.

• Set the polynomial equation equal to zero and solve for x.

• Substitute different values of x into the polynomial equation and find the corresponding y-values.

• Graph the polynomial equation and find the x-values where the graph intersects the x-axis.

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

What is the end behavior of a polynomial graph with an even degree and a negative leading coefficient?

• The graph rises to the left and right.

• The graph falls to the right and rises to the left.

• The graph falls to the left and right.

• The graph falls to the left and rises to the right.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the end behavior of a polynomial graph with an odd degree and a positive leading coefficient?

• The graph falls to the left and falls to the right.

• The graph rises to the left and rises to the right.

• The graph rises to the left and falls to the right.

• The graph falls to the left and rises to the right.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

How can you determine the end behavior of a polynomial graph?

• By calculating the average rate of change of the polynomial graph.

• To determine the end behavior of a polynomial graph, you need to look at the degree and leading coefficient of the polynomial.

• By analyzing the x-intercepts of the polynomial graph.

• By determining the symmetry of the polynomial graph.

What is the degree of the polynomial graph represented by the equation f(x) = x^5 - 3x^2 + 2?

• 5

• 4

• 2

• 3

What is the leading coefficient of the polynomial graph represented by the equation f(x) = 2x^3 - 5x^2 + 7x - 1?

• 2

• -5

• 7

• -1

What is the end behavior of a polynomial graph with an even degree and zero leading coefficient?

• The graph rises on both ends.

• The graph falls on both ends.

• The graph is a straight line.

• The graph does not exist.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7