Domain, Range, Intervals, Zeros and Intercepts

Select all the intervals that represent where the graph is decreasing.

What is another name for zeros?

Tags

CCSS.HSF-IF.C.7C

What are the relative maximum and minimum values for the graph? (check all that apply)

Use the graph to identify the y-intercept and zeros.

• y-int: (0, -16),

  zero: (-2, 0), (2, 0)

• y-int: (16,0),

  zero: no zeros

• y-int: (0, -2), (0, 2), zero: (-16, 0)

• y-int: (-16, 0),

  zero: (0, -2), (0, 2)

Tags

CCSS.HSF-IF.C.7A

Use the graph to determine the domain and range of the function.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

• [0,-2]

• [0,4]

• [-4,0]

• [-2,0]

Determine whether the graph is that of a function. If it is, use the graph to find its domain and range, the intercepts, if any, and any symmetry with respect to the x-axis, y-axis, or the origin.

• Not a function

For the polynomial, list each real zero and its multiplicity. Determine whether the graph crosses or touches the x-axis at each x -intercept. f(x) = 4(x + 7)(x - 5)²

• -7, multiplicity 1, crosses x-axis; 5, multiplicity 2, touches x-axis

• 7, multiplicity 1, touches x-axis; -5, multiplicity 2, crosses x-axis

• -7, multiplicity 1, touches x-axis; 5, multiplicity 2, crosses x-axis

• 7, multiplicity 1, crosses x-axis; -5, multiplicity 2, touches x-axis

Find the x- and y-intercepts of f. f(x) = (x + 1)(x - 8)(x - 1)²

• x-intercepts: -1, 1, -8; y-intercept: 8

• x-intercepts: -1, 1, 8; y-intercept: -8

• x-intercepts: -1, 1, 8; y-intercept: 8

• x-intercepts: -1, 1, -8; y-intercept: -8

Tags

CCSS.HSF-IF.C.7D

Use the x-intercepts to find the intervals on which the graph of f is above and below the x-axis. f(x) = (x + 2)³

• above the x-axis: (-∞, -2), (-2, ∞)

  below the x-axis: no intervals

• above the x-axis: (-∞, -2)

  below the x-axis: (-2, ∞)

• above the x-axis: no intervals

  below the x-axis: (-∞, -2), (-2, ∞)

• above the x-axis: (-2, ∞)

  below the x-axis: (-∞, -2)

Tags

CCSS.HSA.APR.B.3