Worksheet
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Differentiating Special Functions

For Students 11th - 12th
In this differentiating special functions worksheet, students solve and complete 5 various types of problems. First, they differentiate each of the given functions. Then, students complete the table using a calculator and plot the points...
Lesson Plan
Texas Instruments

Continuity and Differentiability 1

For Teachers 9th - 12th Standards
Pupils examine graphs for continuity and differentiability in this calculus instructional activity. They observe piecewise functions to see where continuity and differentiability come into play. Learners finish by graphing their equation...
Lesson Plan
Curated OER

Domain and Range of Exponential Functions

For Teachers 9th - 12th Standards
Have your class find the domain and range for each function. High schoolers graph equations using the TI. They find all the x and y values as they relate to the domain and range.
Lesson Plan
Curated OER

Functions and Inverses

For Teachers 9th - 12th Standards
Students solve problems identifying the functions and inverses. In this algebra lesson, students identify a one-to-one function, and perform the horizontal line test. They analyze data and graph their results on a graph.
Lesson Plan
Curated OER

Exploring Power Functions 1

For Teachers 9th - 12th Standards
Learners describe the end behavior of polynomial functions. Pupils relate the behavior of the graph to the exponent of the graph. They differentiate graphs with odd-exponent and graphs with even exponents.
Lesson Plan
Curated OER

Investigation the Derivatives of Some Common Functions

For Teachers 9th - 12th Standards
Students investigate the derivative of a function.  In this calculus lesson, students explore the derivatives of sine, cosine, natural log, and natural exponential functions.  The lesson promotes the idea of the derivative as a...
Worksheet
Curated OER

Variables, Formulas, Functions, Graphs

For Students 12th - Higher Ed
In this function worksheet, students are given 6 short-answer problems regarding formulas vs. functions, graphing functions and different ways to view functions.
Lesson Plan
Curated OER

Transformations of Functions 2

For Teachers 9th - 12th Standards
Solving problems on the TI graphing calculator can be quite easy. Students observe the properties of transformation of functions and create a formula for the transformation.
Lesson Plan
Curated OER

Power Function Inverses

For Teachers 9th - 12th Standards
Pupils graph polynomial functions and analyze the graphs. They identify the inverse of the functions and find the domain and range. Learners will then label the functions as one to one and use the horizontal and vertical line test to...
Lesson Plan
Curated OER

Interesting Properties of Cubic Functions to Discover Graphically or Numerically

For Teachers 9th - 12th Standards
Learners investigate the slope of a cubic function. They find the tangent line of the cubic function at point P, and discuss the relationship between point P and point Q, the point the tangent line intersects the cubic function. ...
Worksheet
Curated OER

Derivatives of Inverse Functions

For Students Higher Ed
In this derivatives learning exercise, students use the chain rule to show equalities between functions. They read a tutorial that guides them through the process of using the chain rule to find derivatives. This learning exercise...
Lesson Plan
Curated OER

Comparing Linear and Exponential Functions

For Teachers 9th - 12th Standards
Teach your class how to differentiate between linear and exponential functions. They use exponential properties to solve problems, graph them using the TI-Navigator, and make comparisons.
Lesson Plan
Curated OER

Graphic Designing with Transformed Functions

For Teachers 9th - 12th Standards
Teach your class how to transform a graph! By identifying the domain and range of the functions, students can observe the parabola and find the vertex of the transformed graph.
Worksheet
Curated OER

Functions

For Students 12th - Higher Ed
In this functions worksheet, students solve and complete 5 different sets of problems that include determining functions on intervals. First, they define a definite integral and the Fundamental Theorem of Calculus. Then, students draw a...
Lesson Plan
Curated OER

Exploring the Exponential Function

For Teachers 9th - 12th Standards
Learners collect and analyze data regarding exponential functions of the form y = abx.  Students explore the affects of changing parameters on the graph of the function. 
Lesson Plan
Curated OER

Exercise Set 5.4: Inverse Trigonometric Functions

For Teachers 9th - 12th
In this trigonometric functions worksheet, students solve 68 multi-part short answer and graphing questions. Students evaluate inverse trigonometric functions for a given value. Students graph inverse trigonometric functions.
Worksheet
Curated OER

Continuity and Limits

For Students 11th - 12th
In this continuity and limits worksheet, students solve and complete 4 different types of problems. First, they determine which of the limits shown exist and then, evaluate them. They also find which functions are continuous at a given...
Worksheet
Curated OER

Special Functions

For Students 11th
In this special functions activity, 11th graders solve and complete 11 different problems that include various special functions. First, they find the value of each function given the variable. Then, students identify each function as...
Worksheet
Curated OER

Graphs of Functions

For Students 5th - 6th
In this using function tables to problem solve worksheet, students interpret and complete function tables to solve problems. Students solve six word problems.
Worksheet
Curated OER

Derivatives and Functions

For Students 11th - 12th
In this calculus worksheet, students factor differential expressions and evaluate functions. They define whether two functions are equal. there are 7 questions.
Worksheet
Curated OER

Partial Derivatives for a Function of Two Variables

For Students Higher Ed
In this partial derivatives learning exercise, students complete one word problem by finding the (x,y) coordinates of a point when it moves parallel to one axis. When given a function, they find six partial derivatives. Students solve...
Worksheet
Curated OER

Functions and Differentiation

For Students 11th - 12th
In this calculus worksheet, students identify functions based on different Theorems as it relates to calculus and the Fundamental Theorem. There are 13 questions dealing with differentiation and trigonometric graphs.
Worksheet
Curated OER

Maximum and Minimum of Functions

For Students 10th - 12th
In this calculus learning exercise, students are given functions and values to derive using the functions. They are asked to find the maximum, minimum and point of inflection. There are 28 questions.
Lesson Plan
Curated OER

Nonlinear Inequalities

For Teachers 11th
In this Algebra II worksheet, 11th graders solve nonlinear inequalities, graph the solution set on the number line, and write the solution in interval notation.  The one page worksheet contains thirty-eight problems.  Answers...

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