Math 12 Math XXXXXXXXXXChapter XXXXXXXXXXName Fall 2020 Solve: XXXXXXXXXX 5 2 0x x x x− −− + − = XXXXXXXXXX 3 x x + ≥ − 3. Evaluate the Difference Quotient XXXXXXXXXXf x h f x h + − for XXXXXXXXXX1f x...

17 questions


Math 12 Math 12 Chapter 1-3 Name Fall 2020 Solve: 1. ( ) ( )2 33 25 2 5 2 0x x x x− −− + − = 2. 2 4 3 x x + ≥ − 3. Evaluate the Difference Quotient ( ) ( )f x h f x h + − for ( ) 23 1f x x= − Math 12 Chapter 1-3 Name Fall 2020 4. Show algebraically if the function is Even, Odd, or Neither ( ) 3 24f x x x= − 5. Given ( ) 2f x x= , graph each of the following. (Show three distinct points) ( )1 2 f x ( )3f x − 1 2 f x     6. Graph 2 3 4y x= − − + (Show three distinct points) Math 12 Chapter 1-3 Name Fall 2020 7. Given : 2( ) 4 ( ) 2 15f x x and g x x x= − = − − 2( ) 5h x x= − a) State the Domain for ( ( ))h f x . b) Find the vertex of g(x). c) Find ( )( )1k k w− 8. Find all the real zeroes to the function ( ) 3 22 7 7 2f x x x x= − + − Math 12 Chapter 1-3 Name Fall 2020 9. a) Graph f(x) = (x+1)4 (x-4) (x-5)2 Clearly label the axes. b) Solve for the inequality f(x) > 0 10. Graph g x x x ( ) ( )= − − 3 2 2 Clearly label all asymptotes and intercepts Math 12 Chapter 1-3 Name Fall 2020 11. Given: h x x x x x x ( ) ( )( )( ) ( )( ) = − − + − + 2 3 2 3 3 4 2 a) Name each of the following and graph. Domain ________________________ Hole _______________________ Vertical asym. ___________________ Horizontal asym. _______________ x-intercept (s) __________________ y - intercept (s) ________________ Math 12 Chapter 1-3 Name Fall 2020 Simplify: 12. 2 33 2 3 7 2 16 x y x y −− −       13. 1 3 2i− 14. 2 1 2 1 1 1 1 x x x − − − + Math 12 Chapter 1-3 Name Fall 2020 15. Determine the domain. ( ) 23 16f x x x= − + − 16. Solve: 3 1 1 2x x+ = + + (4pts) Set up an algebraic function for the following word problems. DO NOT SOLVE! 17. A power line is to be constructed from a power station at a point A to an island at point C, which is directly 1 mile out in the water from point B on the shore. Point B is 4 miles down shore from the power station at A. It cost $5000 per mile to lay the power line under water and $3000 per mile to lay the line under ground. At what point S down shore from A should the line come to the shore to minimize cost? Note that S could very well be B or A. (Write the function that will describe cost in terms of ‘x’ (the distance between B and S). Solve: a) Name each of the following and graph. Simplify: Set up an algebraic function for the following word problems. DO NOT SOLVE!