Functions and Relations
Function Operations
Inverse Functions
Solving Systems Algebraically
100
Function or Relation
What is Relation (0 repeats)?
100
Let f(x)=4x+8 and g(x)=2x2-5. Find (f+g)(x).
What is 2x2+4x+3?
100
Find the inverse of the relation s and determine whether the inverse is a function.
x y
2 1
3 2
-2 5
5 4
x y
1 2
2 3
5 -2
4 5
100
2x + y = 10
y = x + 4
What is (2, 6)?
200
Function or Relation
What is Relation?
200
Let f(x) = x + 2 and g(x) = 2x2. Find (f*g)(x).
What is 2x3+4x2?
200
Is f(x)= x2+1 a one-to-one function?
Yes, it is a one-to-one function.
200
2x - 2y = 4
-2x + 3y = 6
What is (12, 10)?
300
Domain:
-7<=x<5
Range:
-3<=y<1
300
Let f(x) = x2 - 25 and g(x) = x+5. Find(f/g)(x).
What is x - 5?
300
Find the inverse of f(x)=(x-3)2.
What is sqrt(x)+3?
300
How can you tell that a system of linear equations will have infinitely many solutions without computation?
A system of linear equations has infinite solutions when the graphs are the exact same line.
400
Domain:
R
Range:
y>=-6
400
Let f (x) = 3x and g(x) = (x + 2)2. Find (f ○ g)(–5).
What is 27?
400
Find the inverse of f(x) = (5x+2)2.
What is (sqrt x - 2)/5
400
Write a system of equations in which one equation could be multiplied by –2 and the other equation could be multiplied by 3 in order to solve the system using elimination.
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