Exam 3: Graphs and Functions

Provide an appropriate response. -Are the points A(1, 6), B(4, 9), C( 6, 1), and D(9, 4) the vertices of a parallelogram (opposite sides equal in length)? of a rhombus (all sides equal in length)?

Determine whether the three points are collinear. -(-4, -9), (3, 5), (9, 17)

Find the center-radius form of the circle described or graphed. -A circle has a diameter with endpoints $( - 2,1 )$ and $( 22,17 )$ . Find the coordinates of the center.

Find the specified domain. -Find the domain of $( f - g ) ( x )$ when $f ( x ) = \frac { 2 x } { x - 5 }$ and $g ( x ) = \frac { 5 } { x + 1 }$

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

Give the domain and range of the relation. - $y = \frac { - 2 } { x - 3 }$

Graph the equation by plotting points. - $y = | - 2 - x |$

shown in the graph below. How high will the projectile be after 0.9 s? A) 600 ft B) 550 ft C) 500 ft D) 450 ft Answer: B -The surface area a of a cylinder is shown in the graph below. What is the radius $\mathrm { r }$ if the surface area is $25 \mathrm {~m} ^ { 2 }$ ?

Write an equation for the line described. Give your answer in standard form. -through $( 0,5 ) , \mathrm { m } = \frac { 2 } { 7 }$

Determine whether (f  g)(x) = x and whether (g  f)(x) = x. - $f ( x ) = x ^ { 2 } + 3 , g ( x ) = \sqrt { x } - 3$

Give the domain and range of the relation. - $y = ( x + 1 ) ^ { 2 } - 1$

Find the average rate of change illustrated in the graph. -From April through December, the stock price of QRS Company had a roller coaster ride. The chart below indicates the price of the stock at the beginning of each month during that period. Find the average rate of Change in price per month between June and September. Round to the nearest cent. Month Price April (x=1) 116 May 108 June 87 July 101 August 96 September 113 October 92 November 85 December 64

Determine whether the equation has a graph that is symmetric with respect to the y-axis, the x-axis, the origin, or none of these. - $y = - 6 x ^ { 4 } - 5 x + 5$

Graph the function. - $f(x)=\llbracket x \rrbracket+1$

Decide whether the relation defines a function. - $3 x + 5 y > - 5$

Write all linear equations in slope-intercept form. -The amount of time t it takes a flame to go out in a closed container is a linear function of the volume of the container x. A flame in 656 mL container takes 12 seconds to go out and a flame in a 984 mL container takes 20 seconds. Write a linear function that relates t to x.

Give the domain and range of the relation. -

Graph the line and give the domain and the range. - $y=-4$

Find the slope and the y-intercept of the line. - $y = - 6 x - 3$

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