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Linear Functions: Slope-Intercept Form Teacher Notes Objectives • To review the form of the equation y = mx + b, where m is slope and b is the y-intercept.
A step function is a function whose graph looks like a bunch of steps. The most common step functions are the F_____ F_____ and the C_____ F_____. The Floor Function takes whatever number you put in for x and rounds it D_____ to the nearest integer. The Floor Function is written f(x) = Example 4: What is the floor
In this lesson, students are presented with graphs and tables and asked to determine which represent functions and which do not. Use Quick Poll to check student understanding. Use Class Capture to examine patterns that emerge. Use Live Presenter to engage and focus students.
In this activity, students will make connections between the visual ways to find zeros of a parabola and algebraic ways. The quadratic formula is heavily emphasized in this activity, and is utilized in both a calculator program and in the Lists screen. Students will see the graph of a parabola, and identify its zeros (x-intercepts).
Standard form of a quadratic function is y = ax 2 + bx + c. Vertex form of a quadratic function is y = a(x h) 2 + k. For a parabola in vertex form, the coordinates of the vertex are ( h, k).
linear function is a straight line. A linear function can be represented in two ways, standard form and slope-intercept form. Standard form is a formal way of writing a linear equation, while slope-intercept form makes the equation easier to graph. Form Equation Note Standard
3.1 Functions and Function Notation In this section you will learn to: • find the domain and range of relations and functions • identify functions given ordered pairs, graphs, and equations • use function notation and evaluate functions • use the Vertical Line Test (VLT) to identify functions • apply the difference quotient
