Domain Interval Notation Rational Function

Express the following interval in Set notation:
(-7, 15]

• { x | -7 ≤ x ≤ 15 }

• { x | -7 < x ≤ 15 }

• { x | -7 ≤ x < 15 }

• { x | -7 < x < 15 }

Write the following in interval notation
-7 ≤ x < 8

• (-7, 8)

• [-7, 8)

• [-7, 8]

• (-7, 8]

Tags

CCSS.6.EE.B.8

Write the inequality in interval notation.

• (-2,5)

• (-∞,-2) or (5,∞)

• [-2,5]

• (-∞,-2] or [5,∞)

a function that can be written as a ratio of two separate functions.

• Discontinuous Graph

• x-intercept

• Rational Function

• Continuous Graph

Tags

CCSS.HSF-IF.C.7D

the set of all possible x-values.

• Domain

• Range

• Interval Notation

• Piecewise Function

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

a way of writing subsets of a real number line.

• Domain

• Range

• Interval Notation

• Piecewise Function

Which parent function is this?

• Quadratic

• Cubic

• Linear

• Rational

Answer explanation

The correct answer is 'Rational' because a rational function is defined as the ratio of two polynomials. This distinguishes it from quadratic, cubic, and linear functions, which have different forms and characteristics.

Tags

CCSS.HSF-IF.C.7D

State the DOMAIN in interval notation.

• (-∞,∞)

• [0,∞)

• (-∞,0]

• [-∞,∞]

Answer explanation

The domain of a function is the set of all possible input values. The correct choice, (-∞,∞), indicates that all real numbers are included, meaning any real number can be an input.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What interval notation does the number line graph represent?

• [∞, -5)

• (∞, -5)

• [-5, ∞)

• (-5, ∞)

Answer explanation

The number line graph starts at -5 and includes it (indicated by the bracket) and extends to positive infinity (not included, indicated by the parenthesis). Thus, the correct interval notation is [-5, ∞).

Tags

CCSS.6.EE.B.8

Look at the Graph. Write the inequality in interval notation.

• [-4, -1)

• (-4, -1)

• (-4, -1]

• [-4, -1]

Answer explanation

The interval notation [-4, -1) indicates that -4 is included (closed bracket) and -1 is not included (open bracket). Therefore, the correct choice is [-4, -1).