Warm-Up Explain how you made each match (Without a calculator!)

Section P.1: Graphs and Models p

4 Approaches to Mathematics: 1. Verbal – Explain in words 2. Numerical – Table of values 3. Graphical – Using graphs 4. Analytical – Manipulating symbols and equations

Sketch a graph of f(x) = 1 – x 2 Method 1: Make a table and plot points.

Sketch a graph of f(x) = 1 – x 2 Method 2: Using a graphing calculator.

Why not just always use a graphing calculator? Give the number of zeros of f(x) = sin(ln x)

Why not always just use a graphing calculator? Graph y =

Finding x and y-intercepts: x 2 y – x 2 + 4y = 0

Finding x and y-intercepts: y =

Symmetry: X-axis: Y-axis: Origin:

Check for symmetry: y = (x + 2) 2

Why does symmetry help? x – y 2 = 2

Find Points of Intersection and check: x 2 + y = 5 x – y = 1