Calculus- Limits
Limits – Graphically, limits are range or y-values of a function as you get closer to a particular domain or x- value. If a function approaches different values from both directions, limit is undefined. Limit law of Polynomial functions at a point is the value of the function at that point. Squeeze(Sandwich Theorem) – If f(x)…
Review Topics for Core Math Praxis 5732 by mathbug
Study companion on ets.org Exponents Properties Sequences Patterns Addition of Irrational Numbers, whether a fraction is irrational? Ratios Percentage Discount, Marked Price Age word problems Decimal Place Value Probability of simple events Whether graph is a function? Understand x and y-intercepts Geometry – Volume of cylinder, cube, cone, sphere Area of Square inscribed in a…
Review Topics for Praxis II 5169 Middle School Math by mathbug
Thinking of taking Praxis II 5169 Middle School Math, review of the following topics would be helpful to pass the test. Real Numbers Functions & Inverses Graphs (y is a function of x or x is a function of y) Vertical Line Test for functions Compositions of Functions Linear Functions – Know how to find…
Ratios, Rates by MathBug
Ratio – used to compare division of 2 quantities x and y Can be written as (x/y), x : y, x to y Equivalent Ratios have equal value Ex. 1/2 = 2/4 Rate– ratio of 2 quantities measured in different units Unit Rate – denominator = 1 Clue words – per, for every Distance= Rate.Time…
Rational Numbers, Integers, Whole Numbers by MathBug
Rational Numbers(R) – Quotient of 2 integers (a/b) Whole Numbers(W)(0,1,2,3…) & Integers(I)(…-3, -2, -1, 0,1, 2, 3….) included in R R in the form a/b is terminating decimal(1/2=.5) or repeating decimal(1/3=.3333)
System of Linear Equations by MathBug
Consistent – a system of equations with at least 1 solution(Graphs meet at 1 point or are on same line) Consistent can be Independent – with exactly 1 solution OR Dependent – with infinite number of solutions Inconsistent – No Solution For slope-intercept form equations, y=mx+b, with slope m and y intercept b, different slopes – exactly 1…
SAT Math Tips by MathBug
Underline/Circle information given and problem to be solved. Avoid missing negative signs of integers. Properties of Exponents Absolute values and Inequalities and their graphs. Remember the 3 formulas-Difference of Squares, Squaring of (a+b) and (a-b) instead of FOIL. Graphs of Functions – reflection over x and y axes Transformations y= f(x) is ordered pair(x, y)…
Why Smart Students Hire Tutors
LeBron James, Venus Williams, Lindsey Vonn, Peyton Manning, and Magnus Carlsen have something else in common, besides reaching the pinnacle of their sports. They all have trainers! Even basketball legend Michael Jordan had them. In fact, sports stars have teams of trainers working on various aspects of their game. Now these are the most talented individuals…