PreAP Algebra Unit and Unit Review Name A# Domain and Range:. The graph of the square root function f is shown below. - - - - - - - - - - Interval Notation Domain: Range: Inequalit Notation Domain: Range:. What is the range of the function f( ) = +? Range:. What are the domain and range of the following function? f ( ) = + A Domain: 0 Range: f( ) B Domain: All real numbers Range: f( ) C D Domain: All real numbers Range: Domain: All real numbers Range: All real numbers. The total surface area of a clinder with a radius of r centimeters and a height that is centimeters shorter than the radius is represented b the function Sr ( ). Sr ( ) = πrr ( ) + πr What is the domain of Sr () in this situation? Domain:
Inverses:. The graph of the function f is shown below. 9-9 - - - - - - - 9 - - - - - -9 What are the domain and range of Domain Range: f?. The graph of f( ) = + is shown on the grid below. 9-9 - - - - - - - 9 - - - - - -9 Which is not a point on the inverse of this function? A (, ) B (0, -) C (-, ) D (, -). What is the inverse of f( ) =?. State the inverse of the following relation: 0 0 9 0
Parent Functions: Transformations:
9. Which function best represents the graph below? 9-9 - - - - - - - 9 - - - - - -9 A f( ) = + B f( ) = C f( ) = + D f( ) = 0. What is the verte of the function g ( ) = +?. The graph of the function g was obtained from the graph of the function f using a transformation as shown below. f 9-9 - - - - - - 9 - g - - - - - -9 Based on the graph, which equation can be used to describe g ( ) in terms of f( )? A g ( ) = f ( ) + B g ( ) = f ( + ) C g ( ) = f ( ) D g ( ) = f ( ). If we started with the function f( ) = ( ). A new function, g(), is created b shifting f() four units up and three units right. What is the equation of g()?
. Linda was given the parent function f( ) = and the function g ( ) = ( ). Describe the transformations from f( ) to g ( ).. The graph of the function g was obtained from the graph of the function f using a transformation as shown above. Based on the graph, which equation can be used to describe g() in terms of f()? A g ( ) = f ( ) + B g ( ) = f ( + ) C g ( ) = f ( ) D g ( ) = f ( ) Function Notation:. Given f( ) = and k ( ) = and g ( ) =. Evaluate g(). Find kf ( ( )). Find g(k()) Piecewise Functions:
9. Graph: f( ) = > f() Domain: Range: - - - - - - - - - 0. Given the following graph find the value and state the range. 9-9 - - - - - - - 9 - - - - - -9 f()= Domain: Range:. Which piecewise function represents the graph below? A. (,) (,) - - - - 9 0 - (0,) B. - - - (-,) C. D.
Absolute Value Equations and Inequalities:. Solve + = +. =. Solve + <.. Solve + 9 >. + 9
Sstems of Linear Equations and Matrices. Mr. Green bought adult tickets and children s tickets to the school pla. He paid a total of $. Mr. Blue bought one adult ticket and two children s tickets and paid a total of $. Which of the following could be used to determine the price of each ticket? C D a = c a = c C D 9. What is the solution to the following sstem of equations? z = = + = 0. What is the -value of the solution to the matri equation below? = A B C D. Janet bought sodas and hotdogs for $9.. Horatio bought sodas and hotdogs for $. What is the cost a hotdog?
. The concession stand at a movie theatre sells popcorn in small, medium and large containers. The prices are shown below. Popcorn Small..$. Medium..$.0 Large..$. Yesterda, a total of containers of popcorn were sold. Twice as man medium containers were sold as small containers. The concession stand collected a total of $. from popcorn sales. Write a sstem of equations to describe the situation. (Be sure to define an variables used). Two families rented the same moving van for two different moves. The total cost of renting the van includes a dail fee plus a charge for each mile driven. The information for each of the moves is given in the table below. Number Of Das Number of Miles Total Cost First Famil $.0 Second Famil 9 $9.90 What is the per-da charge and the per-mile charge? A $.0 per da and $.0 per mile B $0 per da and $.0 per mile C $ per da and $0.0 per mile D $ per da and $0.0 per mile. Which of the following is the solution to the sstem of functions f( ) and g ( )? f( ) g ( ) - - 0 - -0 - - - - 0 - A (0, ) B (-, -0) C (, ) D (, )
Sstems of Inequalities:. The solution to a sstem of inequalities is shown on the graph below. Which ordered pair is not included in the solution set for this sstem? A (-, -) B (0, 0) C (, 0) D (0, ). Margo has $0 to spend on books and clothes. She wants to spend at least twice as much mone on books as she spends on clothes. Write a sstem of inequalities than can be used to determine how much Margo can spend on books, b, and how much she can spend on the clothes, c.. Graph the following sstem: < + < f() - - - - - - - - -
Linear Equations and Inequalities:. Select the equation of a parallel line to = + going through the point (, ). A. = B. = C. = + D. = + 9. Which graph represents the function + >? (pts)
0. Write the equation of the line graphed below in A) slope-intercept form and B) standard form. 9-9 - - - - - - 9 - - - - - - -9 ANSWERS: