Exam 3: Graphs and Functions

Find the requested value. - $\text { Using the given tables, find ( } f \text { f) ( } 7 \text { ) }$

Find the average rate of change illustrated in the graph. -The linear function $\mathrm { f } ( \mathrm { x } ) = 3.1 \mathrm { x } + 33$ models the percentage of people, $\mathrm { f } ( \mathrm { x } )$ , who graduated from college $x$ years after 1998. Find and interpret the slope.

For the points P and Q, find the distance d(P, Q). - $P ( - 2 , - 3 ) , Q ( 1,6 )$

Match the equation with the correct graph. - $y + 4 = \frac { 2 } { 3 } ( x + 1 )$

Graph the circle. - $(x-1)^{2}+(y+3)^{2}=25$

Find the slope of the line satisfying the given conditions. -through $( 2 , - 5 )$ and $( 2,9 )$

Give the domain and range of the relation. -

Find the requested value. - $f ( 6 )$ for $f ( x ) = \left\{ \begin{array} { l l } 3 x + 3 , & \text { if } x \leq 0 \\ 3 - 5 x , & \text { if } 0 < x < 5 \\ x , & \text { if } x \geq 5 \end{array} \right.$

Give a rule for the piecewise-defined function. Then give the domain and range. -

Match the equation with the correct graph. - $x = 2$

Determine whether the three points are collinear. - $( - 1 , - 11 ) , ( - 8 , - 7 ) , ( - 5 , - 4 )$

Write an equation for the line described. Write the equation in the form specified. -perpendicular to $8 x - 7 y = 127$ , through $( 8,9 )$ ; standard form

Write an equation for the line described. Give your answer in slope-intercept form. -through $( - 5,2 )$ and $( 0 , - 4 )$

Find the center-radius form of the circle described or graphed. -a circle having a diameter with endpoints $( 3 , - 4 )$ and $( 3,4 )$

The figure below shows the graph of a functio $y = f ( x )$ e this graph to - $\text { Sketch the graph of } y = - f ( x ) \text {. }$

Give a rule for the piecewise-defined function. Then give the domain and range. - $f(x)=\llbracket x-1 \rrbracket$

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ . - $y = \frac { 1 } { 3 } ( x - 4 ) ^ { 3 }$

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ . - $f ( x ) = 3 ( x + 1 ) ^ { 2 } - 2$

The table lists how financial aid income cutoffs (in dollars) for a family of four have changed over time. Use the midpoint formula to approximate the financial aid cutoff for 1985. Year Income (in dollars) 1960 20,250 1970 25,500 1980 30,750 1990 36,000 2000 41,250

Use the graph to determine the equation of the circle in center-radius form. -