Exploring Radical and Polynomial Functions

• A graph that starts at (2,0) and increases to the right.

• A graph that starts at (0,2) and increases to the right.

• A graph that starts at (2,0) and decreases to the right.

• A graph that starts at (0,0) and increases to the right.

Tags

CCSS.HSF-IF.C.7B

Tags

CCSS.HSA.REI.A.2

• 3

• 4

• 5

• 6

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.REI.D.10

• Shift left 4 units and down 2 units

• Shift right 4 units and up 2 units

• Shift left 4 units and up 2 units

• Shift right 4 units and down 2 units

Tags

CCSS.HSF.BF.B.3

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

• A graph that starts at (0,0) and decreases to the right.

• A graph that starts at (0,0) and increases to the right.

• A graph that starts at (0,0) and decreases to the left.

• A graph that starts at (0,0) and increases to the left.

Tags

CCSS.HSF-IF.C.7B

State the maximum number of real zeros and relative extrema for the function p(x) = x⁵ + 2x⁴ + x³. Then find the real zeros.

• Maximum number of real zeros: 6; Relative extrema: 5; Real zeros: 2 (multiplicity 2), -1 (multiplicity 1)
• Maximum number of real zeros: 3; Relative extrema: 2; Real zeros: 0 (multiplicity 1), -1 (multiplicity 1)
• Maximum number of real zeros: 4; Relative extrema: 3; Real zeros: 1 (multiplicity 1), -2 (multiplicity 1)
• Maximum number of real zeros: 5; Relative extrema: 4; Real zeros: 0 (multiplicity 3), -1 (multiplicity 2)

Tags

CCSS.HSF-IF.C.7C

State the maximum number of real zeros and relative extrema for the function p(x) = (x - 7)(x - 4) . Then find the real zeros.

• Maximum 3 real zeros, 2 relative extrema. Real zeros: 4, 5, 7.
• Maximum 1 real zero, 0 relative extrema. Real zeros: 7.
• Maximum 2 real zeros, 2 relative extrema. Real zeros: 4, 6.
• Maximum 2 real zeros, 1 relative extremum. Real zeros: 4, 7.

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4