Problem 35
Use a graphing calculator to graph each equation in the standard viewing window. y = 3x + 4
Problem 35
Describe the graph of each equation as a circle, a point, or nonexistent. If it is a circle, give the center and radius. If it is a point, give the coordinates. x2+y2+2x-6y+14=0
Problem 35
Give a rule for each piecewise-defined function. Also give the domain and range.
Problem 36
Describe the graph of each equation as a circle, a point, or nonexistent. If it is a circle, give the center and radius. If it is a point, give the coordinates. x2+y2+4x-8y+32=0
Problem 36
Determine whether each relation defines y as a function of x. Give the domain and range. See Example 5. x=y4
Problem 37
Use a graphing calculator to graph each equation in the standard viewing window. 3x + 4y = 6
Problem 37
Find the coordinates of the other endpoint of each line segment, given its midpoint and one endpoint. See Example 5(b).
midpoint , endpoint
Problem 37
Give a rule for each piecewise-defined function. Also give the domain and range.
Problem 37
Find the slope and y-intercept of each line, and graph it. 4x-y =7
Problem 38
Describe the graph of each equation as a circle, a point, or nonexistent. If it is a circle, give the center and radius. If it is a point, give the coordinates. x2+y2+4x+4y+8=0
Problem 38
Determine whether each relation defines y as a function of x. Give the domain and range. See Example 5. y=-6x+4
Problem 38
Find the coordinates of the other endpoint of each line segment, given its midpoint and one endpoint. See Example 5(b). midpoint (-9, 8), endpoint (-16, 9)
Problem 38
Use a graphing calculator to graph each equation in the standard viewing window. -2x + 5y = 10
Problem 39
Graph each equation. 2x +5y = 20
Problem 39
Give a rule for each piecewise-defined function. Also give the domain and range.
Problem 39
Describe the graph of each equation as a circle, a point, or nonexistent. If it is a circle, give the center and radius. If it is a point, give the coordinates. x2+y2-2x+12y-12=0
Problem 39
If a walkway rises 2.5 ft for every 10 ft on the horizontal, which of the following express its slope (or grade)? <Image>
A. 0.25, B. 4, C. 2.5/10, D. 25%, E. 1/4, F. 10/2.5, G. 400%, H. 2.5%
Problem 39
Find the slope and y-intercept of each line, and graph it. 4y = -3x
Problem 39
Plot each point, and then plot the points that are symmetric to the given point with respect to the (a) x-axis, (b) y-axis, and (c) origin. (5, -3)
Problem 40
Graph each equation. 3y = x
Problem 40
Determine whether each relation defines y as a function of x. Give the domain and range. x-y<4
Problem 40
Find the coordinates of the other endpoint of each line segment, given its midpoint and one endpoint. See Example 5(b).
midpoint , endpoint
Problem 41
Describe the graph of each equation as a circle, a point, or nonexistent. If it is a circle, give the center and radius. If it is a point, give the coordinates. x2+y2+4x+14y=-54
Problem 41
Find the slope and y-intercept of each line, and graph it. x+2y = -4
Problem 41
Plot each point, and then plot the points that are symmetric to the given point with respect to the (a) x-axis, (b) y-axis, and (c) origin. (-4, -2)
Problem 41
Find the slope of the line satisfying the given conditions. through (2, -1) and (-3, -3)
Problem 41
Give a rule for each piecewise-defined function. Also give the domain and range.
Problem 41
Graph each equation. ƒ(x) = x
Problem 42
Find the slope of the line satisfying the given conditions. through (-3, 4) and (2, -8)
Problem 42
Determine whether each relation defines y as a function of x. Give the domain and range. y=-√x
Ch. 2 - Graphs and Functions
