Concepts 1,2,3,4,5
Linear Function A function that can be written in the form f(x)=mx+b. m represents the slope and b represents the y-intercept. Constant Function A function that can be written in the form f(x)=b.
Examples f(x) = x f(x) = 2x – 3 f(x) = 3
Should be able to recognize graphs of linear and constant functions. Other families you will need to recognize:
Worksheet Go over graphs
f(x) = x 2 is a special type of quadratic. A quadratic function can be written in the form f(x) = ax 2 +bx + c where a, b, and c are real numbers and a≠0. What are the a, b, and c values of f(x) = x 2 ? Graphs of quadratics - PARABOLAS Vertex, axis of symmetry
Examples
END DAY 1 of 4.3
x-intercepts: You know the output is 0. y – intercepts: You know the input is 0. Remember to write your answer as a point. Example: find the x and y intercept of f(x) = -5x +1 and f(x) = - ⅔(x) + 2
Using the graph.
Another example:
Graph of Electricity Bill versus Temperature