Show:
Functions: Domain, Range and Composition
Functions: Inverses
Functions: Transformations
Exponents
Logarithms
100
This describes the points on the x axis
What is domain?
100
This is the method of finding the inverse of a function.
What is switching the x and y values of a function, then solving for y?
100
This is the same thing as a horizontal squeeze.
What is a vertical stretch?
100
This is the name of the function of x raised to the 3rd power.
What is the cubic function?
100
This can be rewritten as 4⋀3=64.
What is log4(64)=3?
200
This is vocalized as f of g of 2 is b.
What is f(g(2))= b?
200
This is what a function must be to have an inverse.
What is a one-to-one function?
200
This is the effect that the +1 has on f(x)=1/2x +1
What is a vertical shift upwards?
200
Growing populations is an example of this.
What is exponential growth?
200
This is the definition of a logarithm.
What is the power to which a base, namely 10, must be raised to produce a given number?
300
This parent function has a domain of all real numbers greater than 0, and an equal range.
What is the square root function?
300
This is formed by a function and its inverse.
What is a line of symmetry?
300
This is the type of transformation performed in y=f(x-1)
What is a horizontal shift to the right?
300
This equation relies upon the previous number to find the next in the sequence.
What is a recursive equation?
300
This is the value assigned to x in log2(x)=256.
What is 8?
400
This is when a function is formed by applying two functions in succession.
What is the definition of composition?
400
This comes out as y=1/2x+3/2
What is the inverse of the function y=2x-3?
400
This is the square root parent function shifted left 1 and up 2.
What is f(x)=√(x+1) +2?
400
This equation represents a bank account that begins with $1600 and earns a 4% increase every year.
What is a⋁n= 1600 x 1.04⋀n?
400
This is equal to log(xy).
What is log(x) + log(y)?
500
The original functions of this problem are f(x)= 2x, g(x)= x+1.
What is f(x) and g(x) if f(g(x))= 2(x+1)?
500
This is the inverse of y=2(x⋀2) +1.
What is y=√(1/2x-1/2)?
500
This is the cubic function stretched horizontally by a factor of 2 and shifted down 2.
What is y=1/2x⋀3 -2?
500
This is the justification for a⋀-n= 1/(a⋀n)
What is a⋀-n= a⋀0-n= (a⋀0)/(a⋀n)= 1/(a⋀n)= a⋀-n?
500
This is equal to logb(b⋀x).
What is x?