absolute values and inverse values

Whats is the inverse value of |-1|

1

Do you need the lines to find abs

NO

Do you need bars to find ordonne

YES

After you draw og line graph what do you do next?

Make y negatives, into y positives

For line graphs, how to you find the postitve fonction par morceaux

Find abs, it will always be X IS BIGGER OR EQUAL your abssices

For line graphs, how to you find the negative fonction par morceaux

Find abs, it will ALWAYS be X IS SMALLER THAN your absices

What is the postive fonction par morceaux for a parabole?

It will always be X IS SMALLER OR EQUAL TO negative number AND X IS BIGGER OR EQUAL positive number

What do you do to original parabole

Make it DOTTED and EXTEND tail

What do you do to inverse parabole

Make it DARK and DON’T extend TAIl

What is ALWAYS DOMAINE?

x|x∈R

what is ALWAYS IMAGE

y|y≥0, y in nombre reel

First step of linear inverse graph?

Draw og graph normally no bold

Second step of linear inverse graph?

Find x(s), put VERITCAL asymptote through it and put asymptote HORIZONTAL on Y=0

Second step of linear inverse graph?

Find invariant points (y=1, y=-1). Put them on the graph line as points

Last step of linear inverse graph?

draw your curve APPROCHING aysmtotes but NEVER crossing it

First step of quadratic inverse graph?

draw og graph normally (make sure lines reach the top)

sommet, ordonné

Second step of quadratic inverse graph?

find abs and draw asymtotes VERTICAL dotted lines through it

Asymtotes horizontal on y=0

thrid step of quadratic inverse graph?

Put points invariants on left and right side of parabole (4 points total)

Fourth step of quadratic inverse graph?

do the flip of the y (ex. 8 become 1/8) and mark it on graph. then draw connecting to opposite lines.

if parabola goes up, inverse should go down

Rule about inverse function

the FLIP only happens to the Y.

(0,9) or y=ax²+bx+c

What is the difference between t_n and n

n is the number of terms in the sequence, tn is the last number on own

When should you use les triangles spéciaux

L’angle est 30°, 45° ou 60° et qu’on cherche une valeur exacte de sin, cos ou tan.

What is the angle de reflexion of Quad I

same as θ_i

What is the angle de reflexion of Quad II

180-θ_i

What is the angle de reflexion of Quad III

θ_i-180

What is the angle de reflexion of Quad IV

360-θ_i

When should you find height of a triangle

When the triangle is an ambiguous case (SSA) and the given angle is acute.

How do you know that there is more than 1 triangle

other side is between the height and the given side

WHat is the domaine for a regular parabola

{x|xεR}

what is the image for a regular parabola if positive

{y|y≥q, yεR}

what is the image for a regular parabola if negative

{y|y≤q, yεR}

how to convert a mixed radical into a whole

Take the number and multiply it by the index and keep it under the square.

how do you know if a radicale has a restriction

If the index is positive, the radicande has to bigger than zero

how do you find a restriction on a radical

x>0

when do you take a VNP from the numerator

when you doing division

When to use cas pos et cas neg

when you need to solve for x

What happens if the other side is less than the height?

No triangle is possible

What happens if the other side is between the height and the given side?

two triangles (ambiguous case)

What happens if the other side is greater than or equal to the given side?

One triangle