Chapter 5
Technical Mathematics with Calculus · 76 exercises
Problem 1
Find the slope of each straight line. Rise \(=4 ;\) run \(=2\)
4 step solution
Problem 1
Graph each function. Set the viewing window for \(x\) and \(y\) initially from -5 to 5 then resize if needed. $$y=x^{2}$$
5 step solution
Problem 1
If \(h\) and \(k\) are positive quantities, in which quadrants would the following points lie? $$(h,-k)$$
3 step solution
Problem 1
For each equation make a table of point pairs, taking integer values of \(x\) from -3 to 3, plot these points, and connect them with a smooth curve. $$y=3 x+1$$
4 step solution
Problem 2
Find the slope of each straight line. Rise \(=6 ;\) run \(=4\)
3 step solution
Problem 2
Graph each function. Set the viewing window for \(x\) and \(y\) initially from -5 to 5 then resize if needed. $$y=4-2 x^{2}$$
4 step solution
Problem 2
If \(h\) and \(k\) are positive quantities, in which quadrants would the following points lie? $$(h, k)$$
3 step solution
Problem 2
For each equation make a table of point pairs, taking integer values of \(x\) from -3 to 3, plot these points, and connect them with a smooth curve. $$y=2 x-2$$
4 step solution
Problem 3
Find the slope of each straight line. Rise \(=-4.25,\) run \(=5.33\)
4 step solution
Problem 3
Graph each function. Set the viewing window for \(x\) and \(y\) initially from -5 to 5 then resize if needed. $$y=3 x-2$$
5 step solution
Problem 3
If \(h\) and \(k\) are positive quantities, in which quadrants would the following points lie? $$(-h, k)$$
2 step solution
Problem 3
For each equation make a table of point pairs, taking integer values of \(x\) from -3 to 3, plot these points, and connect them with a smooth curve. $$y=3-2 x$$
4 step solution
Problem 4
Find the slope of each straight line. Rise \(=7.93,\) run \(=-2.66\)
4 step solution
Problem 4
Graph each function. Set the viewing window for \(x\) and \(y\) initially from -5 to 5 then resize if needed. $$y=1-2 x$$
4 step solution
Problem 4
If \(h\) and \(k\) are positive quantities, in which quadrants would the following points lie? $$(-h,-k)$$
2 step solution
Problem 4
For each equation make a table of point pairs, taking integer values of \(x\) from -3 to 3, plot these points, and connect them with a smooth curve. $$y=-x+2$$
4 step solution
Problem 5
Find the slope of each straight line. Connecting (2,4) and (5,7)
5 step solution
Problem 5
Graph each function. Set the viewing window for \(x\) and \(y\) initially from -5 to 5 then resize if needed. $$y=x^{2}-2 x-1$$
6 step solution
Problem 5
Which quadrant contains points having a positive abscissa and a negative ordinate?
2 step solution
Problem 5
For each equation make a table of point pairs, taking integer values of \(x\) from -3 to 3, plot these points, and connect them with a smooth curve. $$y=x^{2}$$
4 step solution
Problem 6
Find the slope of each straight line. Connecting (5,2) and (3,6)
3 step solution
Problem 6
Graph each function. Set the viewing window for \(x\) and \(y\) initially from -5 to 5 then resize if needed. $$y=x^{2}+3 x+1$$
7 step solution
Problem 6
In which quadrants is the ordinate negative?
3 step solution
Problem 6
For each equation make a table of point pairs, taking integer values of \(x\) from -3 to 3, plot these points, and connect them with a smooth curve. $$y=4-2 x^{2}$$
4 step solution
Problem 7
Find the slope of each straight line. $$\text { Connecting }(-2.84,5.11) \text { and }(5.23,-6.22)$$
5 step solution
Problem 7
Graph each function. Set the viewing window for \(x\) and \(y\) initially from -5 to 5 then resize if needed. $$y=x^{3}-x$$
5 step solution
Problem 7
In which quadrants is the abscissa positive?
3 step solution
Problem 8
Graph each function. Set the viewing window for \(x\) and \(y\) initially from -5 to 5 then resize if needed. $$y=2 x-x^{3}$$
8 step solution
Problem 8
Find the slope of each straight line. $$\text { Connecting }(3.88,-3.64) \text { and }(-6.93,2.69)$$
4 step solution
Problem 8
The ordinate of any point on a certain straight line is \(-5 .\) Give the coordinates of the point of intersection of that line and the \(y\) axis.
3 step solution
Problem 8
For each equation make a table of point pairs, taking integer values of \(x\) from -3 to 3, plot these points, and connect them with a smooth curve. $$y=x^{2}-7 x+10$$
4 step solution
Problem 9
Graph each function. Set the viewing window for \(x\) and \(y\) initially from -5 to 5 then resize if needed. $$y=x^{3}-2$$
4 step solution
Problem 9
Find the slope and \(y\) intercept of each straight line and make a graph. $$y=3 x-5$$
5 step solution
Problem 9
Find the abscissa of any point on a vertical straight line that passes through the point (7,5).
3 step solution
Problem 9
For each equation make a table of point pairs, taking integer values of \(x\) from -3 to 3, plot these points, and connect them with a smooth curve. $$y=x^{2}-1$$
5 step solution
Problem 10
Graph each function. Set the viewing window for \(x\) and \(y\) initially from -5 to 5 then resize if needed. $$y=3.73-1.77 x^{2}$$
8 step solution
Problem 10
Find the slope and \(y\) intercept of each straight line and make a graph. $$y=7 x+2$$
4 step solution
Problem 10
For each equation make a table of point pairs, taking integer values of \(x\) from -3 to 3, plot these points, and connect them with a smooth curve. $$y=5 x-x^{2}$$
4 step solution
Problem 11
Graph each function. Set the viewing window for \(x\) and \(y\) initially from -5 to 5 then resize if needed. $$y=1.74 x^{2}-2.35 x+1.84$$
5 step solution
Problem 11
Find the slope and \(y\) intercept of each straight line and make a graph. $$y=-\frac{1}{2} x-\frac{1}{4}$$
5 step solution
Problem 11
For each equation make a table of point pairs, taking integer values of \(x\) from -3 to 3, plot these points, and connect them with a smooth curve. $$y=x^{3}$$
5 step solution
Problem 12
Graph each function. Set the viewing window for \(x\) and \(y\) initially from -5 to 5 then resize if needed. $$x^{2}-2 x-y+2=0$$
8 step solution
Problem 12
Find the slope and \(y\) intercept of each straight line and make a graph. $$y=-1.75 x-5.44$$
4 step solution
Problem 12
Graph each point. (a) (3,5) (b) (4,-2) (c) (-2.4,-3.8) (d) (-3.5,1.5) (e) (-4,3) (f) (-1,-3)
7 step solution
Problem 12
For each equation make a table of point pairs, taking integer values of \(x\) from -3 to 3, plot these points, and connect them with a smooth curve. $$y=x^{3}-2$$
4 step solution
Problem 13
Graph each function. Set the viewing window for \(x\) and \(y\) initially from -5 to 5 then resize if needed. $$y-2 x^{2}-3 x=3$$
5 step solution
Problem 13
Write the equation of each straight line and make a graph. Slope \(=4 ; y\) intercept \(=-3\)
3 step solution
Problem 13
Graph each set of points, connect them, and identify the geometric figure formed. \((0.7,2.1),(2.3,2.1),(2.3,0.5),\) and (0.7,0.5)
3 step solution
Problem 13
Rewrite each equation in explicit form and graph for integer values of \(x\) from -3 to 3 . $$x+y-5=0$$
4 step solution
Problem 14
Graph each function. Resize the viewing window or use the Zoom feature, if needed, to obtain a complete graph. Then use TRACE and ZOOM or built-in operations to locate any zeros, maximum points, or minimum points. $$y=2 x^{2}-14 x+22$$
4 step solution