Lesson 3 Function Junction Practice Understanding

Ready

Fill in the table of values for each of the linear functions. Then state the point of intersection of the two lines.

1.

Point of intersection:

2.

Point of intersection:

3.

Point of intersection:

4.

Point of intersection:

Set

Determine if the statement is true or false. If it is false, explain why.

5.

All linear functions are increasing.

6.

Arithmetic sequences are an example of linear functions.

7.

Exponential functions have a domain that includes all real numbers.

8.

Geometric sequences have a domain that includes all integers.

9.

The range for an exponential function includes all real numbers.

10.

All linear relationships are functions with a domain and range containing all real numbers.

For each of the following functions, find the desired features.

11.

This function represents position relative to the surface of the water for the last few minutes of a person’s snorkeling trip.

a piecewise function of a coordinate plane x222444666888101010121212141414y–4–4–4–2–2–2222444000

Domain:

Range:

Maximum:

Minimum:

Intercept(s):

Interval(s) of increase:

Interval(s) of decrease:

Discrete/Continuous/Discontinuous:

12.

The sequence described by the recursive rule:

First five terms of the sequence:

Domain:

Range:

Maximum:

Minimum:

Intercept(s):

Interval(s) of increase:

Interval(s) of decrease:

Discrete/Continuous/Discontinuous:

13.

5 line segments on a coordinate plane x–10–10–10–5–5–5555101010y–5–5–5555101010000

Domain:

Range:

Maximum:

Minimum:

Intercept(s):

Interval(s) of increase:

Interval(s) of decrease:

Discrete/Continuous/Discontinuous:

Go

Find both the explicit and recursive equations for the tables.

14.

Explicit:

Recursive:

15.

Explicit:

Recursive:

16.

Explicit:

Recursive:

17.

Explicit:

Recursive:

18.

Explicit:

Recursive:

19.

Explicit:

Recursive:

20.

Explicit:

Recursive:

21.

Explicit:

Recursive:

22.

Explicit:

Recursive: