Virginia Department of Education
Functions: Domain, Range, End Behavior, Increasing or Decreasing
Examine key features of various functions through exploration. A comprehensive lesson has learners describe the domain, range, end behavior and increasing/decreasing intervals of various functions. Function types include linear,...
Virginia Department of Education
Rational Functions: Intercepts, Asymptotes, and Discontinuity
Discover different patterns by making connections between a rational function and its graph. An engaging instructional activity asks scholars to explore the behavior of different rational functions. Groups discover a connection between...
Curated OER
Limits of Functions as Undefined X-Values and L'Hopital's Rule
In this limits learning exercise, students apply L'Hopital's rule to solve four limits problems. They solve a total of eleven short answer problems. The final seven problems ask students to find the asymptotes of functions.
Curated OER
Limits, Continuity and Differentiability
In this limit worksheet, students answer true or false statements concerning functions, limits and differentiability. They evaluate limits and explore rules for working with limits and continuity. This worksheet contains three...
Curated OER
Easy Worksheet: Limits
In this limits worksheet, students solve 4 short answer problems. Students find the limits of trig, linear, root, and rational functions as x approaches a specified value.
Curated OER
Limits, Continuity and Local Linearity
In this continuity activity, students compute limits, identify continuity, compute the rate of change, determine the instantaneous rate, and graph functions. This eight-page activity contains fifteen problems.
Curated OER
Limits and Functions
In this calculus worksheet, students apply the properties of limits as they solve 40 functions with x approaching 1.
Flipped Math
Calculus AB/BC End of Unit 1 Review: Limits and Continuity
Test the limits of one's knowledge on continuity. The last of 18 installments in Unit 1 - Limits and Continuity is an end-of-unit review learning exercise. Individuals identify and classify discontinuities, investigate continuity at a...
Curated OER
Limits and Functions
In this function activity, students determine the limits and draw graphs of given functions. They identify continuous and noncontinuous functions. Students solve mixture problems and prove or disprove given limits. This three-page...
Curated OER
Limits and Functions
In this function activity, students compute the limits of given functions, they use differentials to estimate quantities, they compute the change in functional value and determine an equation for a line tangent to a graph. This...
Curated OER
Limit of a function
In this calculus worksheet, 12th graders determine the limit of a function at the indicate value. The one page worksheet contains eighteen problems. Answers are not included.
Curated OER
Limits of Composition Functions
In this limits worksheet, students find the limits of 9 composition functions. Students evaluate limits for each function at a specific value or as it approaches any value.
Curated OER
Rational Functions
In this rational functions activity, students identify rational functions. They find the domain and range of each function. Students find the x and y-intercepts of functions. This two-page activity contains 35 multip-step problems.
Curated OER
Graphing Functions
In this graphing functions instructional activity, students solve and complete 25 various types of problems. First, they evaluate each of the limits presented. Then, students graph each given function, graphing both the equation and then...
Curated OER
Exponential Functions
In this exponential functions activity, 9th graders solve and complete 23 various types of problems. First, they simplify each expression. Then, students evaluate the function at different values of x and plot the ordered pairs. in...
Curated OER
Graphing Functions
In this graphing functions worksheet, students write functions in logarithmic and exponential forms. They evaluate logarithms and determine the inverse of a function. Students graph functions. This six-page worksheet contains 20...
Curated OER
Limits and Functions
In this calculus activity, learners solve for the limit using special functions such as e and trig. They discuss the special rules differentiating these functions when it comes to taking the limit as x approaches zero.
Curated OER
Function Problems
In this function worksheet, students use given functions to determine the rate at which people enter and exit an amusement park. They compute the number of dollars collected at a specified time and predict when the number of people in...
Curated OER
Functions
For this functions worksheet, students solve and complete 11 different types of problems. First, they find the coordinates of all points on the graph of each equation where the tangents to the graph are horizontal. Then, students write...
Curated OER
The Derivative as a Limit
Students investigate derivatives. In this calculus lesson, students investigate the derivative as a limit through the use of the TI-89.
Curated OER
Mini Examination #2 - Limits and Derivatives
In this limits and derivatives worksheet, students solve 18 multiple choice and short answer questions. Students find the limits and derivatives of functions.
Curated OER
Power Functions: A Question of Magnitude
For this power functions worksheet, students read about determining the brightness of stars using a magnitude scale. Students solve 4 problems including finding the magnitude differences of stars and determining equivalent magnitudes.
Curated OER
Math 155 - Spring 2002 Worksheet: Limits
In this limits worksheet, students solve 6 short answer problems. Students find the limits of functions, points of discontinuity, and the derivatives of functions.
Curated OER
Worksheet 12 - Differentiable Functions
In this differentiable function worksheet, students identify differentiable functions and calculate the derivative of a function. This two-page worksheet contains eight multi-step problems.