Determine whether each of the following statements is true or false.
The x-intercept of the line that passes through
All functions are relations, but not all relations are functions. [1.2]
The line parallel to the y-axis that passes through (−5, 25) is
Find the intercepts of the graph of the line
For each pair of points, find the distance between the points and the midpoint of the segment having the points as endpoints. [1.1]
(−8, −15) and (3, 7)
Find an equation for a circle having center (−5, 2) and radius 13. [1.1]
Find the center and the radius of the circle
Graph the equation.
Given that
Given that
Find the domain of the function. [1.2]
Graph the function. [1.2]
Determine the domain and the range of the function shown in the following figure. [1.2]
Find the slope of the line containing the given points. [1.3]
(−2, 13) and (−2, −5)
(10, −1) and (−6, 3)
Determine the slope, if it exists, and the y-intercept of the line with the given equation. [1.3]
To the student and the instructor: The Collaborative Discussion and Writing exercises are meant to be answered with one or more sentences. They can be discussed and answered collaboratively by the entire class or by small groups.
Explain as you would to a fellow student how the numerical value of the slope of a line can be used to describe the slant and the steepness of that line. [1.3]
Discuss why the graph of a vertical line
Explain in your own words the difference between the domain of a function and the range of a function. [1.2]
Explain how you could find the coordinates of a point