# Lesson 3Function JunctionPractice Understanding

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.

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.

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.

Explicit:

Recursive:

Explicit:

Recursive:

Explicit:

Recursive:

Explicit:

Recursive:

Explicit:

Recursive:

Explicit:

Recursive:

Explicit:

Recursive:

Explicit:

Recursive:

Explicit:

Recursive: