Function Properties
How do you find the domain on a graph?
What are all the x-values the function is define over?
Find the formula of the functions f + g.
f(x)= x2 g(x)= x-5
What is x2 + x - 5?
What does (f o g) mean?
What is f(g(x)) or what is function g(x) inside function f?
Find f(x) and g(x) if f(g(x))= √x+1.
What is f(x)= √x and g(x)= x+1?
What is a parameter?
What is an element defined in terms of another variable?
How do you find the range of the graph?
What are the y-values the function is define over?
How can you find the domain when two functions are combined?
What is the domain they share/ overlap?
Find f(g(x)) when f(x)= x + 3 and g(x)= √x.
What is √x + 3?
Find f(x) and g(x) if g(f(x))= x2 + 1
What is g(x)= x+1 and f(x)= x2?
Find (x,y) when t= -3.
x= 4t y= 18/ t
What is (-12, -6)?
Find the domain of x^2 + 3x - 10.
What is all real numbers?
Find the formula of the function f/g
f(x)= 4x4 - x2 g(x)= x2
What is 4x2 - 1?
Find f(g(x)) when f(x)= (x + 12)/6 and g(x)= 6x.
What is x + 2?
Find f(x) and g(x) if f(g(x))= (ln)2 + 7.
What is f(x)= x2 + 7 and g(x)= ln?
How can you check if a graph has an inverse?
What is the horizontal line test?
Find the range of (x-2)(x+7).
What is [-14, ∞)?
Find the formula of the function f * f and the domain.
f(x)= √x g(x)= 4x2
What is x? What is all real numbers?
Find g(f(x)) when f(x)= x3 and g(x)= cos x.
What is cos x3 ?
How can you double check if you chose the correct f(x) and g(x) of the given f(g(x))= ln (x2 + 7)?
Does f and g when checked as f(g(x))= ln (x2 + 7)?
A function that passes both the horizontal and vertical line test.
What is a one-to-one function?
Find the asymptote.
y = (2x-4)/ (x2 - 4)
What is a vertical asymptote at x= -2?
Find the formula of the function f * f. Simplify.
f(x)= (2x-1) g(x)= x + 3
What is 4x2 -4x + 1?
Find h(g(f(x))) when h(x)= 2x + 1 g(x)= x2 f(x)= 3x.
What is 18x2 + 1?
Describe how to decompose a function.
What is the outside function? What is the inside function?
Find the inverse function algebraically.
y = x/ (x -10)
What is y= -10x/ (1-x)?