Analyze Polynomial Graph

Is the leading coefficient positive or negative

• positive

• negative

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.HSF-IF.C.7C

If a zero of a polynomial function has multiplicity 2 (is a double), that means:

• There is a zero at 2

• The graph will "bounce" off the x-axis at that zero

• The graph will "cross" the x-axis at that zero

• Double zeros don't exist

What is the equation in factored form of this graph?

• f(x) = (x-4)(x-1)²(x+2)(x+4)

• f(x) = (x-4)(x+1)²(x+2)(x+4)

• f(x) = (x-4)(x-1)²(x-2)(x+4)

• f(x) = (x+4)(x+1)²(x-2)(x-4)

Tags

CCSS.HSA.APR.B.3

Which equation MOST LIKELY matches the graph?

• y = x⁴ - x³ + 3x² + 2

• y = -x⁴ + x³ + 5x + 2

• y = x³ - 2x² + 1x + 3

• y = -x³ - 2x² + 1x + 3

Tags

CCSS.HSA.APR.B.3

What is the degree of the function graphed here?

• 6

• 4

• 3

• 5

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

• -1

• 1

• 5

• 6

Tags

CCSS.HSF-IF.C.7C

What degree is the function?

• 1

• 2

• 4

• 10

Tags

CCSS.HSA.APR.B.3

For each function, state the maximum number of turns the graph could make. f (x) = x³ − x² − 4

• 6

• 2

• 4

• 5

For each function, determine the real zeros and state the multiplicity of any repeated zeros.

• {0 mult. 3, 5, 2}

• {−2 mult. 3, 3, 1}

• {0 mult. 3, 3, 2}

• {2 mult. 3, 3, 3}

Tags

CCSS.HSF-IF.C.7C