Connecting Representations of Functions

The equation and the tables represent two different functions. Use the equation \(b=4a-5\) and the table to answer the questions. When \(a\) is -3, is \(b\) or \(c\) greater?

• b

• c

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

The equation and the tables represent two different functions. Use the equation \(b=4a-5\) and the table to answer the questions. When \(c\) is 21, what is the value of \(a\)? What is the value of \(b\) that goes with this value of \(a\)?

• a = 5, b = 15

• There is not enough information

• c = 21 with 5; b with 5

• Other options

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

The equation and the tables represent two different functions. Use the equation \(b=4a-5\) and the table to answer the questions. When \(a\) is 6, is \(b\) or \(c\) greater?

• b

• c

• Cannot be determined

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

The equation and the tables represent two different functions. Use the equation \(b=4a-5\) and the table to answer the questions. For what values of \(a\) do we know that \(c\) is greater than \(b\)?

• 0

• 5

• 12

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

• A

• B

• C

• D

Tags

CCSS.HSF-BF.A.1A

Akiko is painting a room in her house. The graph shows the area Akiko has painted as a function of time. Which description is correct?

• For the first 2 hours, Akiko paints very quickly at first, but then slows down

• For 2 < x < 3, Akiko paints at a constant rate

• For 3 < x < 4, Akiko continues painting at a varying rate

• For the last 2 hours, Akiko paints at a constant rate, but much more slowly than earlier in the day

Tags

CCSS.HSF.IF.B.4

Which of the following is NOT a way to represent a function?

• Table

• Equation

• Picture

• Graph

Is the graph increasing, decreasing or both?

• It is not increasing or decreasing

• increasing

• decreasing

• both

This graph shows the temperature in Diego’s house between noon and midnight one day. Select all the TRUE statements.

• Time is a function of temperature.

• The lowest temperature occurred between 4:00 and 5:00.

• The temperature was increasing between 9:00 and 10:00.

• The temperature was 74 degrees twice during the 12-hour period.

• There was a four-hour period during which the temperature did not change.

Tags

CCSS.8.EE.B.5

Arrange the qualitative description of the function.

I. The function increases at a constant rate.

II. The function increases at a varying rate.

III. The function decrease at a constant rate.

IV. The function decrease at a varying rate.

• I, II, III

• I, II, IV

• II, I, III

• II, I, IV

Tags

CCSS.HSF.IF.B.4