Critical Parts of Functions

Max/Min/Intercepts from Graphs

Max/Min/Intercepts from Tables

Max/Min from Equations

Critical Parts within Context

Students will be able to:

·         Identify the x-intercept(s) from a graph.

·         Identify the y-intercept from a graph.

·         Write an x-intercept, a, as an ordered pair.  (a, 0)

·         Write a y-intercept, b, as an ordered pair.  (0, b)

·         Identify the maximum value or minimum value from a graph.

·         Describe the max/min of an exponential function as “approaching” a particular value.

·         Recognize that linear functions do not have a maximum, nor minimum value.

·         Recognize that quadratic and absolute value functions have either a maximum or a minimum value, but not both.

Students will be able to:

·     Identify the x-intercept(s) from a table.

·     Identify the y-intercept from a table.

·     Write an x-intercept, a, as an ordered pair.  (a, 0)

·     Write a y-intercept, b, as an ordered pair.  (0, b)

·     Identify which type of function a tables models: Linear, Quadratic, Exponential or Absolute Value.

·     Identify whether a function “opens up” or down from a table.

·     Use a pattern to extend a table or insert values within a table.

·     Identify the maximum value or minimum value from a table.

·     Describe the max/min of an exponential function as “approaching” a particular value.

·     Recognize that linear functions do not have a maximum, nor minimum value.

·     Recognize that quadratic and absolute value functions have either a maximum or a minimum value, but not both.

Students will be able to:

·         Identify which type of function an equation models: Linear, Quadratic, Exponential or Absolute Value.

·         Identify whether a function “opens up” or down from its equation.

·         Identify the maximum value or minimum value from an equation.

·         Describe the max/min of an exponential function as “approaching” a particular value.

·         Recognize that linear functions do not have a maximum, nor minimum value.

·         Recognize that quadratic and absolute value functions have either a maximum or a minimum value, but not both.

Students will be able to:

·      Find both the x and y-intercept of a linear, quadratic or exponential function described in context form.

·      Find both the maximum and minimum values of a linear, quadratic or exponential function described in context form.

·      Explain what an intercept, maximum or minimum value means within the context of the problem.

·      Enter an equation in to a graphing calculator in order to produce its graph and table of values.

·      Use a graphing calculator to locate both intercepts, maximum and minimum values of a problem within context.