Intro to Functions

a) Is this graph a function or not a function? Tell why.
b) Does this graph have an inverse? How do you know.

• Function; yes
• Not a Function; yes
• function; no
• not a function;no

Which ordered pair below would prevent this table from being a function?

• (10, 10)
• (2, 4)
• (6, 1)
• (-2, 0)

Evaluate
f(x) = l 4x−3 l ,
if f(x) = 17.

• x = 5 and x =-3.5
• x = 0 and x = -5
• x = 10 and x = -10
• No Solution

Evaluate f(-2) if f(x) = x²+ 3

• -1
• 1
• 7
• -7

What is the solution to this system?
x= 7 - 2y
2x + y = 5

• (-1,4)
• (4,-1)
• (1,3)
• (3,1)

If a system of equations has no solution, what does the graph look like? 

• intersecting lines
• parallel lines
• skew lines
• the same line (coinciding lines)

If a system of equations has infinitely many solutions, what does the graph look like? 

• intersecting lines
• parallel lines
• skew lines
• the same line (coinciding lines)

Which of the following is NOT TRUE about inverse functions?

• Both function compositions = 1
• The graphs are reflected across the line y = x
• Both function compositions = x
• f(x) contains (x, y) and f^-1(x) contains (y, x)

Solve by elimination
-12x-4y= -8 
  -6x-2y= -4

• no solution 
• (0,0)
• infinite solutions 
• (4,0)

What is the first step in finding the equation of the inverse of a function?

• get x by itself
• switch x and y
• solve for y
• write the function in inverse function notation