Algebra day 2

Slide 1

• Function: “a relation where each input has exactly one output”
• Evaluate a Function
• •Function notation: a way of representing functions algebraically
• Example: f(x)=3(x-2) “f of x”
• •If you were give an input (x) and a function written in function notation f(x), can you determine the corresponding output? How??
• Yes, replacing x with the given input value
• Question: given f(x)=3(x-2), find f(1) & f(4)
• Question: given f(x)=3(x-2) and given f(x)=9, find x
• Linear vs Non Linear
• 9/13/2017
• Objective: Identify linear vs. non-linear functions from a graph and equation.
• Linear vs Nonlinear
• •Linear Functions have graphs that are straight lines.
• •Nonlinear Functions have graphs that are not straight lines.
• Graphs: Linear or Nonlinear
• Equations: Linear or Nonlinear
• ●REMEMBER: x1 = x and x0 = 1
• ●Does x appear in the numerator? No, nonlinear. If yes, continue…
• ●Is x raised to a power of 1 or 0? Yes, linear; No, nonlinear.
• y = x + 4.
• y = 6/x
• y = 4
• y = x3 + 1
• y = ½ x
• linear
• linear
• linear
• nonlinear
• nonlinear
• Identify:Linear or Nonlinear Equation?
• y = 2/x + 5
• y = x2 + 8
• y = .6x
• y = + 1
• 3x
• 2
• nonlinear
• nonlinear
• linear
• linear
• Equations: Linear or Nonlinear
• Absolute value function on x is Non-Linear.
• Summaries
• ●A graph is linear if it is a straight line.
• ●An equation is linear if the power of x is either 1 or 0 and it appears in the numerator. Absolute value function on x is non-linear.

Graphs