Chapter 5

Write the equation of each straight line and make a graph. Slope \(=-1 ; y\) intercept \(=2\)

Graph each set of points, connect them, and identify the geometric figure formed. \(\left(2,-\frac{1}{2}\right),\left(3,-1 \frac{1}{2}\right),\left(1 \frac{1}{2},-3\right),\) and \(\left(\frac{1}{2},-2\right)\)

Rewrite each equation in explicit form and graph for integer values of \(x\) from -3 to 3 . $$2 x+3 y=10$$

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. $$y=7 x^{2}+9 x-14$$

Write the equation of each straight line and make a graph. Slope \(=3 ; y\) intercept \(=-1\)

Graph each set of points, connect them, and identify the geometric figure formed. \(\left(-1 \frac{1}{2}, 3\right),\left(-2 \frac{1}{2}, \frac{1}{2}\right),\) and \(\left(-\frac{1}{2}, \frac{1}{2}\right)\)

Rewrite each equation in explicit form and graph for integer values of \(x\) from -3 to 3 . $$x^{2}+y-4=0$$

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. $$y=4 x^{3}-4 x^{2}+11 x-24$$

Write the equation of each straight line and make a graph. Slope \(=-2 ; y\) intercept \(=3\)

Graph each set of points, connect them, and identify the geometric figure formed. \((-3,-1),\left(-1,-\frac{1}{2}\right),(-2,-3),\) and \(\left(-4,-3 \frac{1}{2}\right)\)

Rewrite each equation in explicit form and graph for integer values of \(x\) from -3 to 3 . $$y+x^{2}=12$$

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. $$y=5 x^{4}+13 x^{2}-31$$

Write the equation of each straight line and make a graph. Slope \(=2.30 ; y\) intercept \(=-1.50\)

Write the equation of each straight line and make a graph. Slope \(=-1.50 ; y\) intercept \(=3.70\)

Write the equation of each straight line passing through the given points and make a graph. $$(2,3) \text { and }(-1,4)$$

Graph each set of ordered pairs. Connect them with a curve that seems to you to best fit the data. (-3,-2),(9,6),(3,2),(-6,-4)

Write the equation of each straight line passing through the given points and make a graph. $$(-3,5) \text { and }(1,3)$$

Graph each set of ordered pairs. Connect them with a curve that seems to you to best fit the data. (-7,3),(0,3),(4,10),(-6,1),(2,6),(-4,0)

Write the equation of each straight line passing through the given points and make a graph. $$(1.22,2.43) \text { and }(-2.11,3.24)$$

Graph each set of ordered pairs. Connect them with a curve that seems to you to best fit the data. (-10,9),(-8,7),(-6,5),(-4,3),(-2,4),(0,5),(2,6),(4,7)

A milling machine having a purchase price \(P\) of \(\$ 15,600\) has an annual depreciation \(A\) of \(\$ 1600 .\) Graph the book value \(y\) at the end of each year, for \(t=0\) to 10 years, using the equation \(y=P-A t\)

Write the equation of each straight line passing through the given points and make a graph. $$(3.22,2.53) \text { and }(3.51,-2.54)$$

Graph each set of ordered pairs. Connect them with a curve that seems to you to best fit the data. (0,4),(3,3.2),(5,2),(6,0),(5,-2),(3,-3.2),(0,-4)

The force \(f\) required to pull a block along a rough surface is given by \(f=\mu N\) where \(N\) is the normal force and \(\mu\) is the coefficient of friction. Plot \(f\) for values of \(N\) from 0 to \(100 N\), taking \(\mu\) as 0.45

A \(2580-\Omega\) resistor \(R_{2}\) is wired in parallel with a resistor \(R_{1} .\) Graph the equivalent resistance \(R\) for values of \(R_{1}\) from 0 to \(5000 \Omega\). Use the equation $$ R=\frac{R_{1} R_{2}}{R_{1}+R_{2}} $$

Use the equation \(P=I^{2} R\) to graph the power \(P\) in watts dissipated in a \(2500-\Omega\) resistor for values of current \(I\) from 0 to \(1 \mathrm{A}\).