Math 124 Name _______________#14 FIRST AND SECOND DERIVATIVES 2.5COMPLETE EACH BLANK WITH THE BEST ANSWER.1. If ( )f xis increasing, then ( )f x is ________________________.2. ( )f x is negative if ( )f x is _____________________.3. ( )f x is positive if ( )f x is _____________________.4. ( )f x is negative if ( )f x is _____________________.5. If ( )f x is concave down, then ( )f x is ______________________.6. If ( )f x is increasing, then ( )f x is _______________________.7. If ( )f x is decreasing, then ( )f x is ______________________.8. If ( ) 0f x and ( ) 0f x, then ( )f x looks like ______________________[DRAW A SKETCH].9. If ( )f x is an exponential decay curve, then ( )f x is ___________________ and ____________________.10. If ( )f x has an inflection point, then ( )f x has a change in _____________________.11. If ( )f x has a horizontal tangent, then ( )f x has a _____________________.12. If ( ) 0f a, then ( )f x has a _____________________ at ___________.13. If ( )f x has a change of sign and is always defined, then ( )f x has either a _______________ or _________________.14. If ( )f x has a corner at x a, then ( )f a is ____________________.15. If ( ) 0f x for all values of x, then ( )f x is ______________________.16. If ( ) 0f x for all values of x, then ( )f x is ______________________.17. If ( ) 2f a and ( ) ( ) 5g x f x , then ( )g a__________________.18. If ( )f x is concave down everywhere, then ( )f x is ____________________.19. If the slope of ( )f x increases, then ( )f x is ____________________.20. If )(xf has an x-intercept, then ( )f x has a _________________.21. If ( )f x has a vertical tangent at x = a, then )(af is __________________.Math 124 Name _______________IN EACH COLUMN OF GRAPHS YOU WILL NEED TO DETERMINE WHICH IS ( )f x, ( )f x AND ( )f x. INCLUDE YOUR REASONING22.
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