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Function

RADICAL EXPRESSIONS AND EQUATIONS EXAM

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Exam 2 CH 9 Exam 2 COMPLETE THE TABLE OF VALUES FOR f(x) = ?x + 1, and then graph the function. Give the domain and range of the function X F(x) 0 1 4 9 Domain: _____________ Range:______________ The graph of a square root function f is shown below. Find the value(s) of x for which f(x) =1 Evaluate the square root ; if possible 4. Simplify the expression. Assume that x is unrestricted and use the absolute value symbols of necessary. Simplify SIMPLIFY assume all variables are unrestricted and use absolute value symbols when necessary EVALUATE THE EXPRESSION SIMPLLIFY THE EXPRESSION Perform the indicated operation. Simplify if possible. Assume all are positive.

UPDATED EXAM INTERMEDIATE ALGEBRA

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MATH EXAM 1 THRU 3 1 MATH EXAM #1 1. Determine whether the diagram defines y as a function of x. if it does not, indicate a value x that is assigned more than one value of y X y -4 5 -3 7 4 9 4 11 2. GRAPH THE FUNCTION: h(x) =|4-x| X h(x) 3 1 4 0 5 1 6 2 2 2 1 3 3. Determine the graph of the solution of the given system. X + Y > 2 X - Y < 2 MATH EXAM 1 THRU 3 2 3 Determine whether the graph is a function 4. THE GRAPH OF A SYSTEM OF 2 LINEAR INEQUALITES IS SHOWN. TELL WHICH POINT IS A SOLUTION OF THE SYSTEM. MATH EXAM 1 THRU 3 3 6. FIND THE SOLUTION OF THE SYSTEM. X > -2 Y > -4

FORMULAS AND FUNCTIONS/RADICAL EXP AND EQUATION/ QUAD EQU, FUNCTION& INEQU

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MATH EXAM 1 1 MATH EXAM #1 1. Determine whether the diagram defines y as a function of x. if it does not, indicate a value x that is assigned more than one value of y X y -4 5 -3 7 4 9 4 11 2. GRAPH THE FUNCTION: h(x) =|4-x| X h(x) 3 1 4 0 5 1 6 2 2 2 1 3 3. Determine the graph of the solution of the given system. X + Y > 2 X - Y < 2 MATH EXAM 1 2 3 Determine whether the graph is a function 4. THE GRAPH OF A SYSTEM OF 2 LINEAR INEQUALITES IS SHOWN. TELL WHICH POINT IS A SOLUTION OF THE SYSTEM. MATH EXAM 1 3 6. FIND THE SOLUTION OF THE SYSTEM. X > -2 Y > -4 7. GRAPH THE SOLUTIONS OF THE SYSTEM

RADICAL EXPRESSIONS AND EQUATIONS

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Exam 2 CH 9 Exam 2 COMPLETE THE TABLE OF VALUES FOR f(x) = ?x + 1, and then graph the function. Give the domain and range of the function X F(x) 0 1 4 9 Domain: _____________ Range:______________ The graph of a square root function f is shown below. Find the value(s) of x for which f(x) =1 Evaluate the square root ; if possible 4. Simplify the expression. Assume that x is unrestricted and use the absolute value symbols of necessary. Simplify SIMPLIFY assume all variables are unrestricted and use absolute value symbols when necessary EVALUATE THE EXPRESSION SIMPLLIFY THE EXPRESSION Perform the indicated operation. Simplify if possible. Assume all are positive.

FORMULAS/LITERAL EQUATIONS, INEQUALTIES AND FUNCTIONS

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MATH EXAM 1 MATH EXAM #1 Determine whether the diagram defines y as a function of x. if it does not, indicate a value x that is assigned more than one value of y X y -4 5 -3 7 4 9 4 11 2. GRAPH THE FUNCTION: h(x) =|4-x| X h(x) 3 1 4 0 5 1 6 2 2 2 1 3 3. Determine the graph of the solution of the given system. X + Y > 2 X - Y < 2 3 Determine whether the graph is a function 4. THE GRAPH OF A SYSTEM OF 2 LINEAR INEQUALITES IS SHOWN. TELL WHICH POINT IS A SOLUTION OF THE SYSTEM. 6. FIND THE SOLUTION OF THE SYSTEM. X > -2 Y > -4 7. GRAPH THE SOLUTIONS OF THE SYSTEM 2x ? 4y > -6 3x + y > 5 8. find the solutions of the system X ? Y < 5 Y < 0 X > 0

FINAL EXAM- FORMULAS/EQUATION/INEQUALTIES/EXPONENTIAL AND LOG FUNCTIONS/SYSTEMS OF EQUATIONS,QUADRATIC EQUATIONS,FUNCTIONS,INEQU

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MATH EXAM 1 THRU 4 1 MATH EXAM #1 1. Determine whether the diagram defines y as a function of x. if it does not, indicate a value x that is assigned more than one value of y X y -4 5 -3 7 4 9 4 11 2. GRAPH THE FUNCTION: h(x) =|4-x| X h(x) 3 1 4 0 5 1 6 2 2 2 1 3 3. Determine the graph of the solution of the given system. X + Y > 2 X - Y < 2 MATH EXAM 1 THRU 4 2 3 Determine whether the graph is a function 4. THE GRAPH OF A SYSTEM OF 2 LINEAR INEQUALITES IS SHOWN. TELL WHICH POINT IS A SOLUTION OF THE SYSTEM. MATH EXAM 1 THRU 4 3 6. FIND THE SOLUTION OF THE SYSTEM. X > -2 Y > -4

FINAL EXAM- FORMULAS/EQUATION/INEQUALTIES/EXPONENTIAL AND LOG FUNCTIONS/SYSTEMS OF EQUATIONS,QUADRATIC EQUATIONS,FUNCTIONS,INEQU

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MATH EXAM 1 THRU 4 MATH EXAM #1 Determine whether the diagram defines y as a function of x. if it does not, indicate a value x that is assigned more than one value of y X y -4 5 -3 7 4 9 4 11 2. GRAPH THE FUNCTION: h(x) =|4-x| X h(x) 3 1 4 0 5 1 6 2 2 2 1 3 3. Determine the graph of the solution of the given system. X + Y > 2 X - Y < 2 3 Determine whether the graph is a function 4. THE GRAPH OF A SYSTEM OF 2 LINEAR INEQUALITES IS SHOWN. TELL WHICH POINT IS A SOLUTION OF THE SYSTEM. 6. FIND THE SOLUTION OF THE SYSTEM. X > -2 Y > -4 7. GRAPH THE SOLUTIONS OF THE SYSTEM 2x ? 4y > -6 3x + y > 5 8. find the solutions of the system X ? Y < 5 Y < 0 X > 0

EXPONENTIAL AND LOGARITHMIC FUNCTIONS REVIEW

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Exam 4 Which of the following ordered pairs is a solutuion of (-2,-36) c. (-2,1/36) (-2,1/12) d. (-2,-12) Use composition to show that the pair of functions are inverses. Let find f-g the graph represents a function use the horizontal line test to decide where function is one to one If the function is one to one, find its inverse Find the inverse of the function. Then graph the function and its inverse on one coordinate system. Show line of symmetry on graph Let find the composition (f ? g)(x) Write in exponential form Evulatate the expression Evaluate the expression. Evualtae the expression Write the logarithm as a sum/ difference of logarithms of a single quanity. Then simplify if possible

5.2 Notes

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5.2 ? Functions and Function Notation Consider the following set: Domain: Range: A function is like a machine, you put a number in (input or _________), the machine mashes it, stretches it, etc. and the machine spits out a new number (output or __________). This is a special type of relation because for every input there is only one output. (eg. If you put 3 into the machine, it will always output 6) ?Every function is a relation but not every relation is a function.? Example 1 then output first Multiply by 3 Add 2 input Equation Graph Ordered Pairs Table of Values Input Output -3 -1 0 1 3 Determining whether a relation is a function: {(1, 2), (0, 5), (3, 8), (-3, 2), (5, 9)}Example 2 b) -2 3 6c)

Relations and Functions Final Review

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3 6 9 12 15 18 21 24 27 30 33 36 39 42 45 48 t (Min) 1 2 3 4 5 6 d (km) 1 2 3 4 5?1?2?3?4?5 x 1 2 3 4 5 ?1 ?2 ?3 ?4 ?5 y Relations and Functions Practice Questions 1. The following distance-time graph represents the distance (in kilometres) a person bicycled during a 50-min period. Describe a possible scenario. 2. The table of values shows the cost of movie tickets at a local theatre. Number of Tickets Cost ($) 1 12 2 24 3 36 4 48 (a) Is this a linear or non-linear relationship? Explain how you know. (b) Assign a variable to represent each quantity in the relation. Which variable is the dependent variable and which is the independent variable?

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