Functions: Domain, Range & Composition
Functions: Inverses
Functions: Transformations
Exponents
Logarithms
100
The domain equals the integer values -3,-2,-1,0,1,2,3 for a graph where x is between these numbers.
What are the integer values for domain for a graph where x is between -3 and 3 inclusively?
100
(4,-2), (6, -4), (8,-6), (10,-8) and (12,-10) are the inverses for these coordinate points.
What are the inverse coordinate points for a graph that contain the following coordinate points: (-2,4), (-4,6), (-6,8), (-8,10) and (-10,12)?
100
The vertex is -3,-2 for this absolute value graph.
What is the vertex for the graph y = |x+3| -2?
100
b^8 is the answer to these bases when one exponent is 3 and the other is 5.
What is b^5 * b^3?
100
The exponent of the power to which a base number must be raised to equal a given number.
What is a logarithm?
200
This parabolic graph with a vertex of 2,4 has a domain of all real values and a range greater than and equal to 4.
What is the domain and range of y = (x-2)^2 + 4?
200
A parabola is a graph that is not a one-to-one graph.
What is a type of graph that is not one-to-one?
200
A vertical stretch of 2, 3 to the right, and 4 up are the transformations from the parent function for this quadratic graph.
What are the transformations from the parent function for the quadratic graph y = 2(x-3)^2 +4?
200
x^21 is the answer to this raised to the third power.
What is (x^7)^3?
200
0 is the answer to this log problem with a base of 5.
What is log(5,1)?
300
The domain for this graph is between -6 and 9, inclusive, and the range is between -10 and 14, inclusive, when the domain of the parent function, f, is between -2 and 3, inclusive, and the range of the parent function, f, is between -5 and 7, inclusive.
What is the domain and range of y = 2f (x/3) when the domain of f is between -2 and 3, inclusive, and the range of f is between -5 and 7, inclusive.
300
(4,2) (8,3) and (16,4) are inverses to this exponential graph.
What are corresponding points on the graph of the inverse function y = 2^x?
300
The domain becomes 1/4 of the parent function domain and the range becomes 3 times the parent function range for this graph.
What is the transformation for the domain and range of the graph y = 3(4x)^2 from y = x^2?
300
x^5y^4 is the answer when the original is raised to the twentieth power.
What is (x^1/4y^1/5)^20?
300
3 is the answer to this log problem with a base of 3.
What is log (3,27)?
400
This composition function equals 6x+4 when g(x) = 2x+3 and f(x) = 3x-5, when one of these functions is a composition of the other.
What is the composition function for f(g(x)) when g(x) = 2x+3 and f(x) = 3x-5?
400
The inverse for this graph is y = (x+5)/2.
What is the inverse for the graph y = 2x-5?
400
y = 2x^2 - 5 is the function for these domain and range transformations from the parent graph.
What is the function of a quadratic graph when there is a vertical stretch by 2 and the range is decreased by 5?
400
x^2/3yz^5/3 is the answer to the cube root of this.
What is the cube root of x^2y^3z^5?
400
The answer does not exist when you take the log of this type of number.
What is the log of a negative number?
500
This square root graph has a domain where x < or equal to -3 and a range where y is > or equal to -2.
What is the domain and range of y = the square root of (-x+3) -2?
500
The inverse of this graph is y = =+/- (x-2) ^1/2 -5.
What is the inverse for the graph y = (x-5)^2 +2?
500
A vertical shrink by 1/3, a reflection over the y-axis, a shift to the left 4 and down 2 are transformation for this square root graph.
What are the transformations for y = 1/3(-x+4)^1/2 -2?
500
b^9/(a^6c^15) is the answer when the original is raised to -3.
What is (a^2b^-3c^5)^-3?
500
2 + 4 = 6 is the answer to the addition of two logs when one base is 2 and the other base is 4.
What is log (2,4) + log (4,64)?