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A summary of graphs and functions

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A summary of graphs and functions

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  • October 28, 2024
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  • 2022/2023
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Graph And Functions
Wednesday, 07 September 2022 20:44




Straight line:

y=mx + c

C => y-intercept
m=> gradient, f'(x)

Tangents
M = f'(x)




Parabola




a=> determines
wide or not
p=> -x of the turning point
p=5… x=-5
q=> y value of the turning point

f'(x) = ax+b …. Straight line
Turning points : f'(x)=0
Range (min; + infinity) +a -16-9/4
(-infinity; max) -a
Domain

Tangent




Hyperbola




A => + first and third quadrant
- second and fourth
Q => y- asymptote
-p => x-asimptote

2 asimptotes
0ne x-intercept and one y-intercept

Range
Domain

Symmetry axis
y=mx +c

Y => y-asimp
X => x-asmp
M => +1 or -1




Exponential



A =>

q=> y asimp

One asimptote => y

y-intercept
x- intercept, but not always

y= 5
, whats is x, might have to use logs,

Inverse
y-asimptote becomes x asimptote

Cubical




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