Base (always ticked) Flashcards

(74 cards)

1
Q
A
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2
Q

Consider two linear equations.
If the gradient of 2 equations is the same but they have different y-intercepts, how many solutions do they have?

A

0

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3
Q

show f(x) when reflected in the vertical axis

A

f(-x)

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4
Q

Consider two linear equations.
If the gradients of the 2 equations are different, how many solutions do they have?

A

1

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5
Q

value of discriminant when no solution

A

< 0

less than 0

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6
Q

State the rule for the function

A
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7
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8
Q

state the expression for the axis of symmetry

A
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9
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10
Q
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11
Q

log(a)-log(b)

A
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12
Q

How does the domain of the inverse relate to the original function?

A

It is equivalent to the range.

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13
Q

formula for the discriminant

A
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14
Q
A
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15
Q

log(1)

A

0

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16
Q

Formula for completing the square

A
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17
Q
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18
Q

show f(x) when dilated by a factor of a from the horizontal axis

A

af(x)

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19
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20
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21
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22
Q

State the rule for the function

A

Graph of y=a^x where a>0

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23
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24
Q

state the formula for finding the midpoint of two coordinates

A
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25
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28
State the rule for the function
29
show f(x) when dilated by a factor of a from the vertical axis
f(x/a)
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value of discriminant when 2 solutions
> 0 | greater than 0
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34
Consider two linear equations. If the gradient of 2 the equations is the same and the y-int is the same, how many solutions do they have?
infinite
35
Formula for finding the equation of a straight line (linear function)
36
State the Quadratic formula
37
# using log laws...
38
show f(x) when translated k units in the positive direction of the vertical axis.
f(x)+k
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40
Formula for finding the distance between two points ("the distance formula")
41
show f(x) when translated h units in the positive direction of the horizontal axis.
f(x-h)
42
value of discriminant when 1 solution
= 0
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show f(x) when reflected in the horizontal axis
-f(x)
46
# using log laws...
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# using log laws...
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What kind of function can you use the discriminant with?
Quadratic | The discriminant ONLY works with quadratic equations
51
WHY would you use the discriminant?
To find the number of solutions to a quadratic equation
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Annotation for "maximum" in a question
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Annotation for "minimum" in a question
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Annotation for "Independent" in a probability question
Pr(A)* Pr(B)=Pr(AnB)
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state the formula for the discriminant
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State the rule for the function
60
How does the domain of the inverse relate to the original function?
It is equivalent to the range.
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## Footnote Note, same rough shape for the graph of any function y=x^(1/even positive integer) eg: x^1/2, x^1/4, x^1/6...
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## Footnote Note, same ROUGH shape for the graph of any function y=1/x^(odd integer >1) eg: 1/x^(3), 1/x^(5), 1/x^(7)...
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## Footnote Note, same ROUGH shape for the graph of any function y=1/x^(even integer >1) eg: 1/x^2, 1/x^4, 1/x^6...
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Formula for completing the square
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domain of an inverse function =
range of the original function
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range of an inverse function =
domain of the original function
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"f(x) has an inverse" means...
f(x) is a one-to-one function | "one to one" is your annotation if this comes up in a question
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Write in interval notation: R+
(0,ထ) | does NOT include 0
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Write in interval notation: R-
(–ထ, 0)
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What does "continuous" mean, in terms of the *values* related to the function
y value on LHS = y value on RHS or f(x) value on LHS = f(x) value on RHS (use a limit on one/both sides where undefined)
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## Footnote asymptotes at x=0 and y=0
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