REGENTS MIXED REVIEW Flashcards

0
Q

What do we use to determine whether or not a graph is a function?

A

The Vertical Line Test

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1
Q

If two variables, p and q are inversely proportional then the product of the two never change. Which equation shows this?

A

p*q=k, where k is constant

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2
Q

What do we use to determine if the graph’s inverse a function?

A

The Horizontal Line Test

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3
Q

Quadratic Formula?

A

x= -b(plus or minus) the square root of b^2 -4ac / 2a

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4
Q

Discriminant and its Conditions

A

If b squared - 4ac = 0 then roots are real and equal

If b squared - 4ac > 0 then roots are real and unequal

If b squared - 4ac < 0 then roots are imaginary and unequal

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5
Q

Equation for the sum of the roots of a quadratic?

Equation for the product of the roots of a quadratic?

A
Sum = -b/a
Product = c/a
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6
Q

General form of Equation of a circle and what each variable represents?

A

(x-h)^2 + (y-k)^2 = r^2

(h,k) is the center and r is the radius

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7
Q

x^-a

A

1/x^a

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8
Q

x^m * x^n =?

A

x^m+n

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9
Q

x^m/x^n = ?

A

x^m-n

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10
Q

(x^m)^n

A

x^m*n

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11
Q

x^0

A

1

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12
Q

a square root of x

A

x^ 1/a

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13
Q

a square root of x and y

A

a square root of x and a square root of y

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14
Q

a square root of x/y

A

a square root of x divided by a square root of y

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15
Q

logb x = y in expotential form?

A

b^y = x

16
Q

logb a (change of base for calculator)

A

log a / log b

17
Q

logb m + logb n =

A

logb (m*n)

18
Q

logb m - logb n =

A

logb (m/n)

19
Q

r logb m =

A

logb (m^r)

20
Q

What is the base of logx

A

10

21
Q

What is the base if ln x

A

e