PRE ACT MATH SECTION

A Function

A graph represents a function if and only if every x value on graph corresponds to exactly one y value.

Relative Minimum point

A point that is lower than all other points around it.

Inverse function

If a function contains the the points (a,b) then the inverse is just (b,a). Just switch the variables.

Domain

Domain of a quadratic function is all real values of x.

Relative Maximum Point

Highest point compared to nearby points.

Range of a function

Set of all possible function outputs. Y axis.

Input of a function

Independent variable, the X.

Output of a function

F(x), the Y variable and dependent variable.

Intervals

Set of numbers that contain all other number between two in a set. -1<x<9

Inputs and outputs of inverse functions

Inverse functions are just domain and range being swapped back to one another. “h-1(x)=y if and only if h(y)=x

Y intercept

Y=mx+b

Point slope

y=y+m(x+x)

Exponentially Equations

Y=2(3) square* x+1

When to flip inequality symbol?

When multiplying or diving across the sides.

How may milliseconds in second?

1000 ms=1 sec

How much is-one inch in cm?

It is 2.54 cm

1 foot is?

12 inches

1 meter

0.001 kilometee

how much is 1 millimeter in meters

0.001 meters

1 pound

16 ounces

1 kilogram is..

1000 gram

Milligram is ?

0.001 grams

Area of a triangle?

A=1/2BH

AREA of a circle

A=pr(squared)

Circumference of a circle

C=$\pi$D

Volume of a rectangular prism

V-lwh

Volume of a cylinder

V=$\pi$r(squared) h

Mean Median Mode

Mean- sum divided by count, median- the middle value, mode is the most frequent.

Parabola

A u shaped symmetrical plane curve.

Y=$x^2+2x+1$

Vertex

The turning point, the minimum or the maximum point.

Axis of symmetry

Imaginary like that passes through the vertex and divides the parabola into two identical mirrored halves.

Quadratic equation

Y=ax2+bx+c(a$\neq$ 0)

$-b\pm\sqrt{b^2-\overline{}}4ac$ divide by 2a

Formula to find vertex

-b/2a