Pre-Calculus Module 1

Pre-Calculus Module 1 Leave the first rating Students also studied Terms in this set (21) Maths Save Logical Fallacies 43 terms carmencm123 Preview Senderos 1 L4 Set_1 Teacher 42 terms maronasiPreview Pre-Calculus Midterm 44 terms mountaineer811 Preview

• Unit 3

18 terms glb Practice questions for this set Learn1 / 7Study using Learn A function whose graph is symmetric with respect to the "y-axis" in a mirror image way.FunctionF(x) = ___ A rule of correspondence between x and y that assigns to each "x" only one "y".Domain = "x" Range = "y" Vertical Line TestUsed to determine if a graph is a graph of a function. If a vertical line parallel to the "y-axis" intersects the graph on the same "x" more than once, it is not the graph of a function.Choose an answer 1Decreasing Function2Odd Functions 3Even Functions4Exponential Functions Don't know?

How do we show increasing/decreasing in functions? Through interval notation in terms of ONLY "x"

ex: (x,x) -- this shows the interval of increase/decrease.

Increasing FunctionA function is increasing on an interval if a positive change in "x" results in a positive change in "y" (If the graph goes up) Decreasing FunctionA function is decreasing on an interval if a positive change in "x" results in a negative change in "y". (If the graph goes down) Constant FunctionA function is constant on an interval if a positive change in "x" results in a zero change in "y". (If the graph is horizontal) IntervalA set of numbers Union"U" - Is used to join to sets that do not intersect, together Intersection"∩ " - means "has to be in both" and it joins to overlapping sets: ( - infinity, 6] ∩ (1, infinity) --> The intersection of this = (1,6] Soft Brackets ( )Soft brackets mean the endpoints are NOT INCLUDED Hard Brackets [ ]Hard brackets mean the endpoints ARE INCLUDED A Function is "Bounded Below" if...A function is bounded below if there is some number "b" that is less than every number in the range of the function. This number "b" is called the lower bound of the function.A Function is "Bounded Above" if...A function is bounded above if there is some number "B" that is greater than every number in the range of the function. This number "B" is called the upper bound of the function.What is a "Bounded" Function?A function is bounded if it is bounded both above and below Local MaximumA local maximum of a function is a point that is greater than all other range values in the specified interval. (can be more than one on a graph) Local MinimumA local minimum of a function is a point that is less than all range values in the specified interval. (can be more than one on a graph) Symmetry in Graphs of functionsA graph that reflects in a certain manner Even FunctionsA function whose graph is symmetric with respect to the "y-axis" in a mirror image way.Odd FunctionsA function whose graph is symmetric with respect to the origin.Characteristics of Even Functionsf (-x) = f (x) All exponents are even numbers

Characteristics of Odd Functionsf (-x) = -f (x) All exponents are odd numbers