Show:
Functions: Domain, Range, Composition
Functions: Inverses
Functions: Transformations
Exponents
Logarithms
100
The difference between domain and range
What is domain represents all possible X values for a function while range represents all Y values.
100
The correct notation for the inverse of Y = 2^x
What is F^-1(x) = 2^x
100
Describe the transformations to F(X) = X^2 in F(X) = 2(X)^2 + 3
What is shifted up 3 and stretched on Y by 2
100
Y^4 * Y^2
What is Y^6
100
Rewrite b^x = y in Log format
What is Log b (y)
200
Range of Y = (X-4)^2 + 8
What is numbers greater than positive 8
200
The inverse of Y = X + 3
What is Y = X - 3
200
Stretch Y = X^3 by 5 over the Y axis
What is Y = 5(X^3)
200
Simplify Thomas^8 / Thomas^-4
What is Thomas^12
200
Simplify log (a) + log (b)
What is log (ab)
300
Range of Y = 3(-3X^2)-4
What is all numbers less than -4
300
The inverse of Y = SquareRoot( X - 6 )
What is Y = X^2 + 6
300
Shrink Y = X^3 by 5 over the X axis
What is Y = 5X^3
300
(Y^5)^8
What is (Y^40)
300
Simplify log b (b)
What is 1
400
Find the zeros of Y= SquareRoot(2X-3)
What is X = 1.5
400
Inverse of Y = 2X^4 - 9
What is squareroot4(X / 2) + 9 = Y
400
Find Z if the X intercepts of both equations are equal Y = Z X^2 - 4 Y = X^2 - 16
What is 1/4
400
Proof that (X^Z)(X^Y) = (X^ZY)
What is (X^Z)(X^Y) = (X*X*X*X*X... z times)(X*X*X*X... y times) = (X*X*X*X*X*X*X... y+z times) =X^YZ
400
Find log 18
What is 1.255
500
Y = 37 [35X] + 1.5^3 What is the difference in Y value between consecutive integers?
What is 37
500
The difference in X's zero values between Y = X^2 - 4 and its inverse? + or - 2 for non inverse X = Y^2 - 4 Y^2 = 4 Y = 2
What is +/- 2 for standard and 2 for inverse 0 or 4
500
Find F(5) of F(X) = X^3 + 4 when the function is shifted down 2, flipped over the X axis and stretched on the Y axis by 3 F(5) = -3(5^3)+2
What is X = -373
500
Solve for X 2^2x + 2/5 = 32^(x - 2/5)
What is x = .8
500
Simplify log 4 (1024) + log 4 (1/256)
What is 1