Graphs and Functions

For the relation $\left\{\left(1,3\right),\left(2,6\right),\left(3,9\right),\left(4,12\right),\left(5,15\right)\right\}$:

a. Find the domain of the relation.

b. Find the range of the relation.

Margie is planning a lunch banquet. The equation $C=750+42g$ models the relation between the cost in dollars, C, of the banquet and the number of guests, g.

(a) Find the cost if the number of guests is 50.

(b) Find the cost if the number of guests is 100.

(c) Interpret the slope and C-intercept of the equation.

(d) Graph the equation.

Plot each point in a rectangular coordinate system and identify the quadrant in which the point is located.
$(-2,1),(-3,-1),(4,-4),(-4,4),(-4,\frac{3}{2})$

Plot each point in a rectangular coordinate system and identify the quadrant in which the point is located. 

$(-4,1), (-2,3),(2,-5),(-2,5),(-3,\frac{5}{2})$

Use graph of $y=3x-1$. For each ordered pair, decide :

(a) Is the ordered pair $A(0,-1),B(2,5)$a solution to the equation.

(b) Is the point $A(0,-1),B(2,5)$ on the line?

Use graph of $y=3x-1$. For each ordered pair, decide :

(a) Is the ordered pair $A(3,-1)B(-1,-4)$a solution to the equation.

(b) Is the point $A(3,-1)B(-1,-4)$ on the line?

Graph: f(x)=3

Graph the equation by plotting points .

$y=2x-3$

Graph the equation by plotting points . 

$y=-2x+4$

Graph the equation $y=\frac{1}{3}x-1$by plotting points.

Graph the equation $y=\frac{x}{4}+2$by plotting points. 

Graph the equations

(a) $x=5$

(b)$y=-4$

Graph the equations

(a)$x=-2$

(b)$y=3$

Graph the equations in the same rectangular coordinate system. $y=-4x and y=-4$

Graph the equations in the same rectangular system.

$y=3 and y=3x$

Find the $x and y$ intercepts on the graph.

Find the $x and y$ intercepts on the graph.

Find the intercepts:

$3x+y=12$

Find the intercepts:

$x+4y=8$

Graph using the intercepts:

$x-2y=4$

Graph using the intercepts:

$-x+3y=6$

Graph using the intercepts:

$5x-2y=10$

Graph using the intercepts:

$3x-4y=12$

Graph using the intercepts:

$y=4x$

Graph using the intercepts:

$y=-x$

In the following exercises, plot each point in a rectangular coordinate system and identify the quadrant in which the point is located.

a)$\left(-4,2\right)$

b)$\left(-1,-2\right)$

c)$\left(3,-5\right)$

d)$\left(-3,0\right)$

e)$\left(\frac{5}{3},2\right)$

In the following exercises, plot each point in a rectangular coordinate system and identify the quadrant in which the point is located.

a) $\left(-2,-3\right)$

b) $\left(3,-3\right)$

c) $\left(-4,1\right)$

d) $\left(4,-1\right)$

e) $\left(\frac{3}{2},1\right)$

In the following exercises, plot each point in a rectangular coordinate system and identify the quadrant in which the point is located.

a) $\left(3,-1\right)$

b) $\left(-3,1\right)$

c) $\left(-2,0\right)$

d) $\left(-4,-3\right)$

e) $\left(1,\frac{14}{5}\right)$

In the following exercises, plot each point in a rectangular coordinate system and identify the quadrant in which the point is located.

a) $\left(-1,1\right)$

b) $\left(-2,-1\right)$

c) $\left(2,0\right)$

d) $\left(1,-4\right)$

e) $\left(3,\frac{7}{2}\right)$

In the following exercises, for each ordered pair, decide

a) is the ordered pair a solution to the equation? b) is the point on the line?

$y=x+2$

$A: \left(0,2\right); B: \left(1,2\right); C: \left(-1,1\right); D: \left(-3,-1\right)$

In the following exercises, for each ordered pair, decide

a) is the ordered pair a solution to the equation? b) is the point on the line?

$y=x-4$

$A: \left(0,-4\right); B: \left(3,-1\right); C: \left(2,2\right); D: \left(1,-5\right)$

In the following exercises, for each ordered pair, decide

a) is the ordered pair a solution to the equation? b) is the point on the line?

$y=\frac{1}{2}x-3$

$A: \left(0,-3\right); B: \left(2,-2\right); C: \left(-2,-4\right); D: \left(4,1\right)$

In the following exercises, for each ordered pair, decide

a) is the ordered pair a solution to the equation? b) is the point on the line?

$y=\frac{1}{3}x+2$

$A: \left(0,2\right); B: \left(3,3\right); C: \left(-3,2\right); D: \left(-6,0\right)$

In the following exercises, graph by plotting points.

$y=x+2$

In the following exercises, graph by plotting points.

$y=x-3$

In the following exercises, graph by plotting points.

$y=3x-1$

In the following exercises, graph by plotting points.

$y=-2x+2$

In the following exercises, graph by plotting points.

$y=-x-3$

In the following exercises, graph by plotting points.

$y=-x-2$

In the following exercises, graph by plotting points.

$y=2x$

In the following exercises, graph by plotting points.

$y=-2x$

In the following exercises, graph by plotting points.

$y=\frac{1}{2}x+2$

In the following exercises, graph by plotting points.

$y=\frac{1}{3}x-1$

In the following exercises, graph by plotting points.

$y=\frac{4}{3}x-5$

In the following exercises, graph by plotting points.

$y=\frac{3}{2}x-3$

In the following exercises, graph by plotting points.

$y=-\frac{2}{5}x+1$

In the following exercises, graph by plotting points.

$y=-\frac{4}{5}x-1$

Graph the equation $y=-\frac{3}{2}x+2$ by plotting the points.

Graph the equation $y=-\frac{5}{3}x+4$ by plotting the points.

Graph the equations $x=4$ and $y=3$.