Analyzing Polynomial Range and Domain

Select all statements that apply to this graphed polynomial...

• The domain

  is (-∞, ∞)

• The range

  is (-∞, ∞)

• The range

  is [-4, ∞)

• There is one absolute minimum

• There are no local maximum

Answer explanation

The domain of a polynomial is always (-∞, ∞). The range is [-4, ∞) indicating a minimum value of -4. There is one absolute minimum at this point, and no local maximum exists in this polynomial.

Tags

CCSS.MATH.CONTENT.HSF.IF.B.4

CCSS.MATH.CONTENT.HSF.IF.C.7.c

Select all statements that apply to the graphed polynomial...

• The domain

  is (-∞, ∞)

• The range

  is (-∞, ∞)

• The range

  is (-∞, 6)

• There is 1 absolute maximum

• There are 1 local minimum, 1 local maximum

Answer explanation

The domain of a polynomial is always (-∞, ∞). The range is also (-∞, ∞) if it does not have a maximum or minimum. The graph shows 1 local minimum and 1 local maximum, confirming these statements.

Tags

CCSS.MATH.CONTENT.HSF.IF.B.4

CCSS.MATH.CONTENT.HSF.IF.C.7.c

Using the given table, determine the consecutive integer values of x between which each real zero of the function is located.

Answer explanation

The function has real zeros between -4 and -3, and between 0 and 1, as indicated by the sign changes in the table. Thus, the correct intervals are -4

Tags

CCSS.MATH.CONTENT.HSF.IF.B.4

CCSS.MATH.CONTENT.HSF.IF.C.7.c

Using the given table, determine the consecutive integer values of x between which each real zero of the function is located.

Tags

CCSS.MATH.CONTENT.HSF.IF.B.4

CCSS.MATH.CONTENT.HSF.IF.C.7.c

Which is not true about the domain and range of the polynomial function?

• The domain is all real numbers.

The range of a polynomial function is always (-∞, ∞).

• True

• False

What is the DOMAIN?

• 0 ≤ x < 3

• 0 < x ≤ 3

• -2 ≤ x ≤ 1

• -2 ≤ y ≤ 1

What is the range of the function:

• all real

• (infinity, -4]

• [-5, infinity)

What is the domain of a polynomial function?

• It depends on the degree of the function being even or odd.

• [0,∞)

• (-∞,∞)

• It depends on the vertex

What is the range?