Domain and Range
The domain of a quadratic function
What is all real numbers?
Values of a that cause a graph to be reflected over the x-axis.
What is a<0?
State if the given functions are inverses:
g(x)=4-3/2x and f(x)=1/2x+3/2
What is no?
Identify the transformations of the graph of f.
f(x)=[x], h(x)=-[x]+6
What is reflection across x axis and vertical shift up 6 units?
Let
f(x)=4x-1 and g(x)=2x^2+3.
. Then
f(x)*g(x)
equals what?
What is
8x^3-2x^2+12x-3?
Determine the domain of the function: h(x)=x/(x^2 - x -6)
What is all real numbers except x cannot equal 3 or -2?
The asymptote of f(x)=log(x+4)-11
What is x=-4?
Define an inverse function.
What is "A function obtained by expressing the dependent variable of one function as the independent variable of another; f and g are inverse functions if f(x)=y and g(y)=x. In math, if ƒ is a function from a set A to a set B, then an inverse function for ƒ is a function from B to A"?
Identify the transformation on f(x) to get h(x):
f(x)=x^2, h(x)=(x-3)^2-2
What is translated right 3 units and down 2 units?
Let f(x)=3x and g(x)=2x+4.
Find (f o f)(-2).
What is -18?
Find the x- and y- intercepts of the graph of the equation: y=(x+1)^2
What is x-int=-1 and y-int= 1?
The x-intercepts of the function f(x)=(x-4)^{2}-4
What are 2 and 6?
Find the inverse of the function:
g(x)=(7x+18)/2
What is
g^-1(x)=(2x-18)/7?
Identify the transformations of the graph of f.
f(x)=x^2, h(x)=-(x+3)^2+1
What is reflection across x-axis, horizontal shift left 3 units and vertical shift up 1 unit?
Let f(x)=x^2-5 and g(x)=3x+2 Find -2f(x)+g(x) .
What is
-2x^2+3x+12?
the domain and range of y=|x+2|
What is all real numbers (domain) and y is greater than or equal to 0 (range)?
The domain and range of f(x)=15/(x-5) +11
What is D=[x ne 5] and R=[y ne 11]?
State if the given functions are inverses:
f(x)=(1)/(x+3) and g(x)=(3)/(x-1)
What is no?
What is the translation shown here?
f(x)=|x-1|-1
What is 1 unit right and 1 unit down?
Let f(x)=3x and g(x)=2x+4.
Find (f o g)(1).
What is 18?
the domain of y = SQRT (2x+3)
What is x is greater than or equal to -3/2?
The equation for the graph Mrs. Righter just put on the board.
What is y=(-1/2)|x-3|+5?
Verify that the functions are inverses of each other
f(x)=(x+1)/(x-1) and g(x)=(x+1)/(x-1)
What is yes?
The transformations applied to this parent function:
-2(3^(x+2))-8
What is reflected over the x-axis, stretched by a factor of 2, translated left 2 and down 8?
If f(x)=2x+3, Find f(-3).
What is -3?