Are You Ready for the Unit 2 Test?

How would you describe this graph?

• linear, discrete

• linear, continuous

• exponential, discrete

• exponential, continuous

Answer explanation

You can trace continuous graphs without picking up your pencil. It is exponential because it is growing quickly and at a different amount every time, which makes it curve.

Tags

CCSS.HSF-IF.C.7E

How would you describe this graph?

• linear, discrete

• linear, continuous

• exponential, discrete

• exponential, continuous

Answer explanation

It is linear because the graph is a straight line. It is discrete because the graph is made of dots instead of a continuous line.

Tags

CCSS.8.EE.B.5

How would you describe this graph?

• linear, discrete

• linear, continuous

• exponential, discrete

• exponential, continuous

Answer explanation

It is linear because the graph is a straight line. It is continuous because it is not made of dots.

Tags

CCSS.8.EE.B.5

Which of these are always characteristics of discrete functions? Mark all that apply.

• instant change

• domain is natural numbers

• graph is straight

• graph is connected

Answer explanation

Discrete functions may be either straight or curved. Their domain is the natural numbers because your only choices for input are 1, 2, 3, 4, . . . They don't change gradually, they have abrupt changes that jump from term to term.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Which of these are always characteristics of discrete functions? Mark all that apply.

• instant change

• domain is real numbers

• graph is curved

• graph is dots

Answer explanation

Discrete functions may be either straight or curved. Their domain is the natural numbers because your only choices for input are 1, 2, 3, 4, . . . They don't change gradually, they have abrupt changes that jump from term to term. That is why their graphs are just dots.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Which of these are always characteristics of continuous functions? Mark all that apply.

• instant change

• domain is real numbers

• graph is curved

• graph is dots

Answer explanation

The domain of continuous functions is all of the real numbers because you can use any number you can think of for the input.

How are arithmetic sequences different from linear functions? Mark all that apply.

• Sequences have the real numbers for their domain.

• Sequences are always discrete.

• Sequences can't have parts of terms.

• Sequences have curved graphs.

Answer explanation

Sequences can be straight or curved, depending on whether they add every time or multiply. They are always discrete because they jump from term 1 to term 2, to term 3, etc. There are no parts of terms. This is why their graphs are just dots.

Tags

CCSS.HSF.BF.A.2

How are arithmetic sequences similar to linear functions? Mark all that apply.

• Their graphs are both straight lines.

• They both have a constant rate of change.

• Their pattern is adding the same thing every time.

• Their slopes can be fractions.

Tags

CCSS.HSF.BF.A.2

How are geometric sequences similar to exponential functions? Mark all that apply.

• They are always discrete.

• They can grow or decay.

• They can increase or decrease by a percent.

• They change by a different amount every time.

Answer explanation

Exponential equations may be discrete or continuous, depending on the context.

How are geometric sequences similar to exponential functions? Mark all that apply.

• They are always continuous.

• They have a common difference.

• Their pattern is multiplication.

• Their graphs curve.

Answer explanation

Arithmetic sequences have a common difference, which we call the slope when they are linear functions. Geometric sequences multiply by the ratio every time, and we call that the growth or decay factor in exponential equations.