Exam 3: Graphs and Functions

Graph the piecewise defined function. - $f(x)=\left\{\begin{array}{ll}-4 x & \text { if } x \geq 1 \\x+1 & \text { if } x<1\end{array}\right.$

Find the slope and the y-intercept of the line. - $- 2 y + 3 x = 12$

Solve. hat -In 1995 , the average annual salary for elementary school teachers was $\$ 24,269$ . In 2000 , the average annual salary for elementary school teachers was $\$ 28,148$ . Let $y$ be the average annual salary in the year $x$ , where $x = 0$ represents the year 1995 . a) Write a linear equation that models the average annual salary for elementary school teachers in terms of year? b) Use this equation to determine the average annual salary for elementary school teachers in $2006 .$

Find the domain and range. - {(-8,1),(-9,2),(-4,8),(-4,-2)}

Graph the linear equation using the slope and y-intercept - $6 x + 4 y = 24$

Find the slope of the line. - $x + 2 = 0$

Graph the linear equation using the slope and y-intercept - $y = - 5 x$

Solve. hat -The average value of a certain type of automobile was $\$ 13,800$ in 1993 and depreciated to $\$ 8160$ i be the average value of the automobile in the year $x$ , where $x = 0$ represents 1993 . Write a linear models the value of the automobile in terms of the year $\mathrm { x }$ .

Find the slope and the y-intercept of the line. - $y = 2 x$

Write the word or phrase that best completes each statement or answers the question. -3x + 5y = -13; (-1, 2)

Use the vertical line test to determine whether the graph is the graph of a function. -

Determine whether the relation is also a function. -y=-3x-9

Graph the linear equation. - $x+y=2$

Solve the problem. -Find the slope of a line parallel to the line $y = \frac { 3 } { 2 } x - 6$ .

Solve the problem. -A section of roller coaster track has the dimensions shown in the diagram. Find the grade of the track, which is the slope written as a percent. $11.7$ meters

Graph the function. -

Use the vertical line test to determine whether the graph is the graph of a function. -

Solve. hat -In 1995 , the average annual salary for elementary school teachers was $\$ 24,269$ . In 2000 , the average annual salary for elementary school teachers was $\$ 28,148$ . Let $y$ be the average annual salary in the year $x$ , where $x = 0$ represents the year $1995 .$ a) Write a linear equation that models the average annual salary for elementary school teachers in terms of year b) Use this equation to determine the average annual salary for elementary school teachers in 1998 .

Write an equation of the line passing through the given points. Write the equation in standard form Ax + By = C. - (8,-3) and (6,-8)

Find the slope and the y-intercept of the line. - $y + 5 = 0$