Algebra 2 Turning Points

What is the degree of a polynomial function with the equation f(x) = 3x^4 + 2x^3 - 5x^2 + 7x - 1?

• 3

• 2

• 1

• 4

Find the turning points of the polynomial function f(x) = x^3 - 6x^2 + 9x + 4.

• (1, 8) and (3, -4)

• (-1, 10) and (2, -2)

• (0, 4) and (4, 0)

• (2, 6) and (4, 2)

What is the leading coefficient of the polynomial function f(x) = -2x^5 + 3x^4 - 7x^3 + 5x^2 - 9x + 1?

• 5

• -7

• -2

• 3

Determine the end behavior of the polynomial function f(x) = -4x^3 + 2x^2 - 5x + 3.

• The end behavior of the polynomial function is that it approaches negative infinity as x approaches negative infinity and approaches positive infinity as x approaches positive infinity.

• The end behavior of the polynomial function is that it approaches positive infinity as x approaches negative infinity and approaches negative infinity as x approaches positive infinity.

• The end behavior of the polynomial function is that it approaches zero as x approaches negative infinity and approaches zero as x approaches positive infinity.

• The end behavior of the polynomial function is that it approaches a constant value as x approaches negative infinity and approaches a constant value as x approaches positive infinity.

Solve the equation x^2 + 4x - 5 = 0 using the quadratic formula.

• 1, -5

• 2, -3

• -1, 5

• 3, -2

Tags

CCSS.HSA-REI.B.4B

What is the maximum number of turning points a polynomial function of degree 4 can have?

• 3

• 4

• 2

• 1

Find the x-intercepts of the polynomial function f(x) = 2x^2 - 8x + 6.

• x = 4, x = 2

• x = 2, x = 1/4

• x = 5, x = 1

• x = 3, x = 1/2

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

Determine the number of real solutions for the equation x^2 + 9 = 0.

• 2

• 0

• 3

• 1

Tags

CCSS.HSA-REI.B.4B

What is the leading term of the polynomial function f(x) = 5x^3 - 2x^2 + 7x - 1?

• -1

• 5x^3

• 7x

• -2x^2

Find the y-intercept of the polynomial function f(x) = 3x^2 + 2x - 1.

• 1

• 0

• 2

• -1