Exam 3: Graphs and Functions

A manufacturing plant purchases a new molding machine for $\$ 950,000$ . The depreciated value y after t years is given by $y = 950,000 - 20,000 t$ , $0 \leq t \leq 8$ . Sketch the graph of this model.

Determine whether the set of ordered pairs $\{ ( 0 , - 1 ) , ( 8,8 ) , ( 1 , - 8 ) , ( 9,0 ) , ( 1,1 ) \}$ represents a function from A to B , where $A = \{ 0,1,8,9 \}$ and $B = \{ - 8 , - 1,0,1,8 \}$

Find the x- and y- intercepts, if any, of $y = | x | - 2$ .

Find the distance between $( - 9,7 )$ and $( 11 , - 4 )$ . Round your answer to two decimal places.

Write the equation for the function $f ( x )$ graphed below.

Graph the equation $3 x + 2 y = 10$ .

Find the distance between $\left( \frac { 3 } { 4 } , 4 \right)$ and $\left( \frac { 3 } { 4 } , - 8 \right)$ .

Find the x - and y -intercepts of the graph of the equation $y = 7 x + 9$ .

Write the equation of the line that passes through the point (9,4) and has y- intercept 5.

Given $f ( x ) = 6 x + 4$ , evaluate $\frac { f ( x + 5 ) - f ( 5 ) } { x }$ .

Use the Vertical Line Test to determine if y is a function of x .

Determine the quadrant in which the point is located without plotting the point. $( 34 , - 21 )$

Find the coordinates of the vertices of the figure if it is shifted 3 units to the right and 3 units up.

Write an inequality for the shaded region shown.

Determine which of the lines $L _ { 1 } , L _ { 2 }$ and $L _ { 3 }$ passing through the indicated pairs of points are parallel. (-2,-7),(0,1) (-2,11),(5,-24) (0,-2),(5,18)

Compete the table and use the results to sketch the graph of the equation $y = | x - 1 |$ . x -2 -1 0 1 2 y

Write an equation of a vertical line that passes through the point (8,3) .

Sketch the graph of the equation $y = x ^ { 2 } - 1$ and label three points on the graph.

Determine whether the equation $y ^ { 2 } = 10 x$ represents y as a function of x .

Sketch the graph of the line $3 x - 9 y = 18$ . Then find the slope of the line.