## Inverse Functions

Definition The inverse is shown by putting a little “-1” after the function name, like this: f-1(y), where y = f(x) It says “f inverse of y“ Here we have the function f(x) = 3x+2 The flow is Inverse Functions make 3x + 2 back to x , substitute y = 3x + 2, then So, … Continue reading "Inverse Functions"

## Lines of Symmetry of Plane Shapes

The line of symmetry is the axis or imaginary line that passes through the center of the shape or object and divides it into identical halves. How to find a shape has a Line of Symmetry ? You can find a shape has a Line of Symmetry or not by folding it When the folded … Continue reading "Lines of Symmetry of Plane Shapes"

## Function Transformations

How move and resize the graphs of functions? How move the graphs of functions? Add a constant to the y-value will move it up or down Add a constant to the x-value will move it left or right Examples Function c > 0 c < 0 f(x) = x2 g(x) = x2 + c        f(x) … Continue reading "Function Transformations"

## Stem and Leaf Plots

Definition A Stem and Leaf Plot is a special table where each data value is split into a “stem” (the first digit or digits) and a “leaf” (usually the last digit). See this example: Example “47” is split into “4” (stem) and “7” (leaf). 10, 11, 22, 23, 24, 35, 36, 47, 48, 49 Stem … Continue reading "Stem and Leaf Plots"

## Absolute Value

Definition of Absolute Value Absolute value or modulus |x| of a real number x is the non-negative value of x without regard to its sign. |x| = x for a positive x, |x| = −x for a negative x (in which case −x is positive) |0| = 0. For example, the absolute value of 5 is … Continue reading "Absolute Value"

## Conjugate

Definitions Conjugate is where we change the sign in the middle of two terms The conjugate of “a + b” is “a – b” Conjugate is only used in expressions with two terms (binomials) Examples Expressions Conjugate a + 1 a – 1 b2 – 2 b2 + 2 4 + √3 4 – √3 When we … Continue reading "Conjugate"

## Improper Fractions

Definitions There are 3 types of fractions Fraction type Condition Examples Proper Fraction Numerator < Denominator Improper Fraction Numerator > Denominator Mix Fraction A whole number + proper fraction So, An Improper Fraction is a fraction that has a top number larger than (or equal to) the bottom number. Converting Improper Fractions to Mixed Fractions How … Continue reading "Improper Fractions"

## Rationalize the Denominator

Irrational Denominator Denominator: the bottom number of fraction Rational: Numbers such as 2, 3, 7 Irrational: Roots such as √2, √3, √7 Simplest form of number cannot have the irrational denominator. To be in simplest form, Rationalizing the Denominator! Rationalizing the Denominator is making the denominator rational How to Rationalizing the Denominator Rationalizing the Denominator … Continue reading "Rationalize the Denominator"

## Ascending & Descending Order

Ascending Order When the numbers are arranged from the smallest number to the largest number, those numbers are said to be in an ascending order. Ascending order of numbers is arranged numbers from smallest to largest number. Descending Order When the numbers are arranged from the largest to the smallest number, those numbers are said to … Continue reading "Ascending & Descending Order"