Problem 1
To answer each question, refer to the following basic graphs. Which one is the graph of ƒ(x)=x2? What is its domain?
Problem 1
Without using paper and pencil, evaluate each expression given the following functions. and
Problem 2
Without using paper and pencil, evaluate each expression given the following functions. and
Problem 3
To answer each question, refer to the following basic graphs. Which one is the graph of ƒ(x)=x3? What is its range?
Problem 3
Without using paper and pencil, evaluate each expression given the following functions. and
(ƒg)(2)
Problem 4
Without using paper and pencil, evaluate each expression given the following functions. and
Problem 5
Without using paper and pencil, evaluate each expression given the following functions. and
Problem 6
Without using paper and pencil, evaluate each expression given the following functions. and
Problem 6
To answer each question, refer to the following basic graphs. Which one is the graph of ƒ(x)=|x|? What is the function value when x=1.5?
Problem 7
Fill in the blank(s) to correctly complete each sentence. The function has domain ________.
Problem 7
To answer each question, refer to the following basic graphs. Which one is the graph of ƒ(x)=∛x? Is there any open interval over which the function is decreasing?
Problem 8
To answer each question, refer to the following basic graphs. Which one is the graph of ƒ(x)=√x? What is its domain?
Problem 9
Without actually graphing, identify the type of graph that each equation has.
- Let ƒ(x)=x^2+3 and g(x)=-2x+6. Find each of the following. See Example 1. (ƒ+g)(3)
Problem 11
Problem 11
Determine the intervals of the domain over which each function is continuous. See Example 1.

- Write an equation for each line described. Give answers in standard form for Exercises 11–20 and in slope-intercept form (if possible) for Exercises 21–32. through (1,3), m = -2
Problem 11
Problem 12
Let and . Find each of the following. See Example 1.
Problem 12
Determine the intervals of the domain over which each function is continuous. See Example 1.

- Determine the intervals of the domain over which each function is continuous. See Example 1.
Problem 13

- Let ƒ(x)=x^2+3 and g(x)=-2x+6. Find each of the following. See Example 1. (ƒ-g)(-1)
Problem 13
- Write an equation for each line described. Give answers in standard form for Exercises 11–20 and in slope-intercept form (if possible) for Exercises 21–32. through (-5,4), m = -3/2
Problem 13
Problem 14
Let and . Find each of the following. See Example 1.
Problem 14
Determine the intervals of the domain over which each function is continuous. See Example 1.

- Write an equation for each line described. Give answers in standard form for Exercises 11–20 and in slope-intercept form (if possible) for Exercises 21–32. through (-8,4), undefined slope
Problem 15
Problem 15
Determine the intervals of the domain over which each function is continuous. See Example 1.

Problem 15
Let ƒ(x)=x^2+3 and g(x)=-2x+6. Find each of the following. See Example 1. (ƒg)(4)
Problem 16
Let and . Find each of the following. See Example 1.
Problem 16
Determine the intervals of the domain over which each function is continuous. See Example 1.
- Graph each function. See Examples 1 and 2. ƒ(x)=3|x|
Problem 17
- Let ƒ(x)=x^2+3 and g(x)=-2x+6. Find each of the following. See Example 1. (ƒ/g)(-1)
Problem 17
Ch. 2 - Graphs and Functions
