Exam 8: More on Functions and Graphs

Solve. -If the force acting on an object stays the same, then the acceleration of the object is inversely proportional to its mass. If an object with a mass of 21 kilograms accelerates at a rate of 8 meters per second per second by a force, find the rate of acceleration of an object with a mass of 7 kilograms that is pulled by the same force.

Graph the function. - $f(x)=\sqrt{x}-2$

Use the given graph of the function. -Find $f ( 2 )$ .

Find the square root. - $- \sqrt { 49 }$

Find an equation of the line. Write the equation using function notation. -Through $( - 5 , - 10 )$ ; perpendicular to $7 x + 8 y = 19$

Find an equation of the line satisfying the given conditions. Write the equation using function notation. -Through $( - 3,3 )$ ; perpendicular to $x + 5 y = - 5$

Find the equation of the line. Write the equation using standard notation. -Slope $- \frac { 2 } { 7 } ;$ through $( 3,3 )$

Graph the function. State the domain and range of the function. - $f ( x ) = \sqrt { x + 5 } + 4$

Find an equation of the line graphed. Write the equation using function notation. -

Solve the problem. -Sales for a small clothing company can be modeled by the linear function $\mathrm { S } ( \mathrm { x } ) = 3890 \mathrm { x } + 66,665$ , where $x$ is the number of years since 2005 and $\mathrm { S } ( \mathrm { x } )$ is in dollars. Find the sales in 2005 .

Graph the function. - $f(x)=-\sqrt{x+7}-6$

Solve. -The speed of a ball dropped from a tower is given by the linear function $f ( t ) = 32 t$ where $f ( t )$ is in feet per second and $t$ is the number of seconds since the ball was dropped. Find the speed of the ball after 7 seconds.

Graph the linear function. - $f ( x ) = \frac { 1 } { 4 } x$

Find the equation of the line. Write the equation using standard notation. -With slope $- \frac { 1 } { 7 } ; \mathrm { y }$ -intercept 9

Write an equation to describe the variation. Use k for the constant of proportionality. - $P$ varies jointly as $R$ and the square of $S$ .

Graph the function. - $f(x)=|x+4|$

Solve. -The total sales made by a salesperson was $25,000 after 3 months and $68,000 after 23 months. Find an equation relating time and sales. Use the equation to predict the total sales after 42 months.

Graph the line. - $10 x - 2 y = - 4$

Graph the function. - $f ( x ) = \sqrt { x + 7 } + 2$

Solve. -The power that a resistor must dissipate is jointly proportional to the square of the current flowing through the resistor and the resistance of the resistor. If a resistor needs to dissipate 75 watts of Power when 5 amperes of current is flowing through the resistor whose resistance is 3 ohms, find The power that a resistor needs to dissipate when 8 amperes of current are flowing through a Resistor whose resistance is 3 ohms.