Exam 2: More on Functions

Solve. -Elissa wants to set up a rectangular dog run in her backyard. She has 36 feet of fencing to work with and wants to use it all. If the dog run is to be x feet long, express the area of the dog run as a Function of x. A) $A ( x ) = 17 x - x ^ { 2 }$ B) $A ( x ) = 18 x - x ^ { 2 }$ C) $A ( x ) = 19 x - x ^ { 2 }$ D) $A ( x ) = 20 x ^ { 2 } - x$

A graph of y = f(x) follows. No formula for f is given. Graph the given equation. - $y = 2 f ( x )$

Find an equation of variation for the given situation. - y varies inversely as x and y=0.1 when x=0.5

Find the point that is symmetric to the given point with respect to the requested axis. -Symmetric with respect to the y-axis (1.5,1.75) A) (1.5,-1.5) B) (1.75,1.5) C) (-1.5,-1.75) D) (-1.5,1.75)

Graph the equation. - A) B) C) D)

Solve. -Sue wants to put a rectangular garden on her property using 66 meters of fencing. There is a river that runs through her property so she decides to increase the size of the garden by using the river as One side of the rectangle. (Fencing is then needed only on the other three sides.)Let x represent the length of the side of the rectangle along the river. Express the garden's area as a function of x.

Find an equation of variation for the given situation. - y varies inversely as x and y=6 when $x = \frac { 1 } { 3 }$ A) $y = \frac { - 1 } { x }$ в) $y = \frac { 5 } { x }$ C) $y = \frac { 2 } { x }$ D) $y = \frac { 3 } { x }$

Consider the functions F and G as shown in the graph. Provide an appropriate response. -Find the domain of G/F. A) $[ - 1,2 ) \cup ( 2,3 )$ B) (-1,3] C) [-3,4] D) [-3,3]

Graph the function. - A) B) C) D)

Consider the functions F and G as shown in the graph. Provide an appropriate response. -Find the domain of F + G.

For the piecewise function, find the specified function value. - $f ( x ) = \left\{ \begin{array} { l l } 3 x + 1 , & \text { for } x < 7 \\7 x , & \text { for } 7 \leq x \leq 12 \\7 - 3 x , & \text { for } x > 12\end{array} \right.$ F(-7)

Find an equation of variation for the given situation. - y varies jointly as x and z and inversely as the product of w and p , and $y = \frac { 6 } { 5 }$ when x=1, z=6 , w=20 and p=8 .

Find the point that is symmetric to the given point with respect to the requested axis. -Symmetric with respect to the x -axis (7,2)

A graph of y = f(x) follows. No formula for f is given. Graph the given equation. -y = 2f(x)

Graph the function. - $h ( x ) = \frac { 1 } { 3 } | x + 2 | - 3$

Graph the equation. - A) B) C) D)

Graph the function. -

Determine algebraically whether the graph is symmetric with respect to the x-axis, the y-axis, and the origin. -

Write an equation for a function that has a graph with the given characteristics. -The shape of y=|x| is vertically stretched by a factor of 6.2 . This graph is then reflected across the x -axis. Finally, the graph is shifted 0.15 units downward.

The graph of the function f is shown below. Match the function g with the correct graph. -g(x)= f(x)-4