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
Find the distance between each pair of points, and give the coordinates of the midpoint of the line segment joining them. P(3, -1), Q(-4, 5)
Problem 1
Fill in the blank to correctly complete each sentence. The point (-1, 3) lies in quadrant ________ in the rectangular coordinate system.
Problem 1
Fill in the blank(s) to correctly complete each sentence. The circle with equation has center with coordinates________ and radius equal to__________ .
Problem 1
Fill in the blank(s) to correctly complete each sentence. The domain of the relation { (3,5), (4, 9), (10, 13) } is _____.
Problem 1
Without using paper and pencil, evaluate each expression given the following functions. and
Problem 2
Find the distance between each pair of points, and give the coordinates of the midpoint of the line segment joining them. M(-8, 2), N(3, -7)
Problem 2
Without using paper and pencil, evaluate each expression given the following functions. and
Problem 2
Fill in the blank(s) to correctly complete each sentence. The graph of the line y= -2x+7 has slope ______ and y-intercept ______.
Problem 2
Fill in the blank(s) to correctly complete each sentence. The circle with center (3, 6) and radius 4 has equation _________.
Problem 2
Fill in the blank to correctly complete each sentence. The point (4,_____ ) lies on the graph of the equation y = 3x - 6.
Problem 3
Fill in the blank(s) to correctly complete each sentence. The equation y = 4x - 6 defines a function with independent variable______ and dependent variable ________ .
Problem 3
Without using paper and pencil, evaluate each expression given the following functions. and
(ƒg)(2)
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
Find the distance between each pair of points, and give the coordinates of the midpoint of the line segment joining them. A(-6, 3), B(-6,8)
Problem 4
Fill in the blank to correctly complete each sentence. The y-intercept of the graph of y = -2x + 6 is ________.
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 5
Fill in the blank to correctly complete each sentence. The x-intercept of the graph of 2x + 5y = 10 is ________.
Problem 5
Fill in the blank(s) to correctly complete each sentence. For the function ƒ(x) = -4x + 2, ƒ(-2)= ______.
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
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 7
Determine whether each statement is true or false. If false, explain why. The graph of y = x2 + 2 has no x-intercepts.
Problem 7
Fill in the blank(s) to correctly complete each sentence. The function has domain ________.
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
Determine whether each statement is true or false. If false, explain why. The midpoint of the segment joining (0, 0) and (4, 4) is 2.
Problem 9
Without actually graphing, identify the type of graph that each equation has.
Problem 11
Determine the intervals of the domain over which each function is continuous.
Problem 11
In the following exercises, (a) find the center-radius form of the equation of each circle described, and (b) graph it. center (0, 0), radius 6
Ch. 2 - Graphs and Functions
