3.2 (Day 2) Difference Quotient & Graphs of Functions.

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Presentation transcript:

3.2 (Day 2) Difference Quotient & Graphs of Functions

Difference Quotient (used in Calculus to study tangent lines to curves)

Ex 1) Find the difference quotient of

y x Ex 2) Sketch the graph of Pass the vertical line test? │-2 – 2│ │-1 – 2│ │0 – 2│ │1 – 2│ │2 – 2│ │3 – 2│ │4 – 2│ │5 – 2│ │x – 2│xy Yes! Function!

Ex 3) Determine if function: No! It doesn’t pass the vertical line test.

Greatest Integer Function: Greatest integer ≤ x AKA Floor Function

Plug in positive decimal values ≥ 1 to get a feel then fill in pattern, including negatives It’s a function, so must pass vertical line test y x Ex 4) Graph xy

Greatest Integer Function Actual Table: x y

Homework #304 Pg – 51 odd, 54, 56, 57 – 63 odd, 64, 70 – 76 even