Algebra 2 - CFU - Unit 2 Lesson 10 - Sketching Polynomials

Which function is graphed?

• (x - 4)(x + 2)(x - 8)=0
• (x - 4)(x - 2)(x + 8)=0
• (x - 4)(x + 2)(x + 8)=0
• (x + 4)(x + 2)(x + 8)=0

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

What is the end behavior of a fourth degree polynomial with a negative leading coefficient?

• As x gets larger and larger in the positive direction, f(x) gets more positive. As x gets larger and larger in the negative direction, f(x) gets more positive.

• As x gets larger and larger in the negative direction, f(x) gets more negative. As x gets larger and larger in the negative direction, f(x) gets more negative.

• As x gets larger and larger in the positive direction, f(x) gets more negative. As x gets larger and larger in the negative direction, f(x) gets more positive.

• As x gets larger and larger in the positive direction, f(x) gets more positive. As x gets larger and larger in the negative direction, f(x) gets more negative.

Which factor has a multiplicity of 2 of (x + 2)(x - 1)(x + 3)(x - 2)²? What does this tell you about the graph?

• (x + 2), and it will go straight through the x-intercept

• (x - 1), and it will make a parabola shape at the x-intercept.

• (x +3), and it will go straight through the x-intercept.

• (x - 2), and it will make a parabola shape at the x-intercept.

Tags

CCSS.HSA.APR.B.3

What is the end behavior for
f(x)= -x³+2x+1

• A
• B
• C
• D

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the end behavior for
f(x)=2x²+x

• A
• B
• C
• D

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

• y =  ^_(x + 2)(x - 1)²
• y = -(x - 2)(x + 1)²
• y = (x - 2)(x + 1)²
• y = -x³

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

What is the y-intercept?
f(x) = -x⁴ + x³ + 5x² + x + 6

• -1
• 1
• 5
• 6

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.C.7

Is the leading coefficient positive or negative

• positive
• negative

Tags

CCSS.HSA.REI.D.10

Which function is graphed?

• (x - 4)(x + 2)(x - 8)=y

• (x - 4)(x - 2)(x + 8)=y

• (x - 4)(x + 2)(x + 8)=y

• (x + 4)(x + 2)(x + 8)=y

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

f(x) = (x+2)(x-3)²(x-4)

Which choice best describes the zeros?

• -2, 3 (multiplicity 2), 4

• -2 (multiplicity 2), 3, 4

• 2, -3 (multiplicity 2), -4

• 2 (multiplicity 2), -3, -4

Tags

CCSS.HSA.APR.B.3