Exam 3: Graphs and Functions

Write an equation of the line that passes through the points $\left( 4 , \frac { 5 } { 8 } \right)$ and $\left( - 9 , - \frac { 3 } { 8 } \right)$ . Write the equation in slope-intercept form.

Write the equation $12 x - 4 y + 5 = 0$ in slope-intercept form.

Your company purchases a new delivery van for $\$ 72,000$ . For tax purposes, the van will be depreciated over a seven year period. At the end of seven years, the value of the van is expected to be $9000 . The graph relating the depreciated value of the van, y , to the number of years, t , since it was purchased is shown below. What is the y- intercept of the graph, if any?

Write an equation in slope-intercept form of the line that passes through the point $\left( - \frac { 3 } { 2 } , \frac { 1 } { 7 } \right)$ and has a slope of $m = - \frac { 2 } { 3 }$ .

Write the equation $x - 3 y + 6 = 0$ in slope-intercept form.

State if the line passing through the points $( 0,8 )$ and $( - 4,10 )$ rises, falls, is horizontal, or is vertical.

A caterer charges $939 to cater a wedding plus $8 per person served a meal. Write a linear model that relates the cost C (in dollars)to cater a wedding to x the number of people served a meal.

Determine which of the ordered pairs is a solution of the equation. $y = \frac { 8 } { 3 } x + 2$

Determine which of the ordered pairs is a solution of the equation. $x + 6 y - 4 = 0$

Identify the transformation of $f ( x ) = x ^ { 2 }$ to obtain $h ( x ) = ( x - 6 ) ^ { 2 } + 9$ .

Sketch the graph of $g ( x ) = x ^ { 3 } + 5$ .

Evaluate and simplify $f ( x ) = \frac { x + 2 } { x - 3 }$ at $x = x - 8$ .

Write the equation of the line that passes through the point $\left( 0 , \frac { 8 } { 7 } \right)$ and has slope $m = \frac { 3 } { 2 }$ . Write the equation in slope-intercept form.

Write an equation of the line that passes through the points $( - 6 , - 8 )$ and $( - 9,1 )$ . Write the equation in general form.

Which inequality corresponds to the given graph?

Your company purchases a new delivery van for $\$ 40,000$ . For tax purposes, the van will be depreciated over a seven year period. At the end of seven years, the value of the van is expected to be $5000 . The equation relating the depreciated value of the van, y , to the number of years, t , since it was purchased is given by $y = 40,000 - 5000 t$ . Sketch a graph of this equation.

An access ramp to a freeway extends horizontally a distance of 280 feet while it rises a total of 10 feet. Find the slope of the access ramp.

Estimate the x - and y -intercepts of the graph.

If $f ( x ) = \frac { x } { x + 3 }$ , find $f ( s )$ .

Use the graph of $f ( x ) = x ^ { 2 }$ to write a function that represents the graph given below.