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Graphing Linear Equations - With Table
Young scholars describe relations and graph linear functions. After studying a geometric shape and a verbal statement, students contrast the differences between the verbal statement and the picture. They determine functions and graph...
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Functions, Limits, Graphs
For this function worksheet, student determine the limits of given functions and sketch graphs, This two-page worksheet contains 25 problems.
Curated OER
Functions and Slopes
In this function worksheet, learners find the slope of a line tangent to a given graph, they derive formulas for the area and perimeter of a given right triangle, they graph functions, and compute the derivative of functions. This...
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Draw the Inverse for Ten Graphed Functions
In this inverse function worksheet, students draw the inverse function for ten given graphs. Inverses may not exist for all functions.
Curated OER
Calculus Practice Test: Velocity, Functions
In this calculus learning exercise, students observe graphs and identify the limits of the functions listed in the graph. They determine the definite integrals and derivatives. Students use the trapezoid rule to estimate distance. ...
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Easy Worksheet: Graph Using Transformations
In this graph using transformations worksheets, students solve 4 graphing problems. Students graph each transformation given an equation in vertex form.
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Senior Analysis: Graphing
In this graphing worksheet, students graph given equations. They identify points on the line. This one-page worksheet contains nine problems.
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Average Value of Functions
In this integrals and average value worksheet, students problem solve thirty equations or word problems involving average value of functions, volume and integrals.
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Worksheet 5: Functions & Limits
In this function worksheet, students determine the limits of functions, sketch graphs, and use the Intermediate-Value Theorem for functions. This two-page worksheet contains twenty-two problems.
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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...
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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...
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Challenge Sheet 3: Average Value of a Function
In this average value worksheet, students determine the average value of functions, sketch graphs of continuous intervals, evaluate integrals, find the average value of a function and convert limits to a definite integral. This one-page...
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Discussion Sheet 1: Domain & Range of a Function
In this domain and range worksheet, students solve inequalities, determine the domain and range for a function, identify the limits, and sketch graphs of a function. This two-page worksheet contains nine multi-step problems.
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Worksheet 2: Evaluating Functions
In this function worksheet, students evaluate sums, estimate the area of the region between graphs, estimate the volume of a hemisphere, and use subintervals and the limit definition integrals to evaluate functions. This two page...
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Graphs of Polynomial Functions
In this polynomial functions worksheet, 9th graders solve and complete 11 different problems. First, they write the given quadratic equations in vertex form. Then, students state the x- and y-coordinate for each polynomial function.
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Chapter 10-Relations and Functions, Practice Test
In this intermediate algebra learning exercise, students solve 20 multiple choice problems. Problems range from finding the domain and range of a function to identifying the graph of an inverse of a function.
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Worksheet 1 - Polynomials, Functions, Rates
For this polynomial worksheet, students read an assortment of story problems, determine the necessary information, and write an equation to solve the problem. Problems consist of topics dealing with area, factoring polynomials,...
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Logarithmic Functions as Inverses
In this algebra activity, students solve logarithmic functions. They graph their solution using log properties. There are 6 questions.
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Absolute Value of Linear Functions
Students identify and interpret how absolute value affects linear functions. They also graph linear functions and reflect them in a line of symmetry. Finally, students evaluate the absolute value of a constant using technology to...
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Piecewise Linear Integral
Young mathematicians solve and graph piecewise functions in this calculus lesson. They integrate linear functions containing restrictions and graph their answers using the TI.
Illustrative Mathematics
Graphs of Power Functions
This activity consists of three exercises in which learners sketch the graphs of various power functions on the same axes. They use their sketches to make comparisons and observations which lead to generalizations about the graphs of...
Illustrative Mathematics
Which Function?
Learners are given a graph of a parabola on a coordinate system, but intercepts and vertex are not labeled. The task is to analyze eight given quadratic functions and determine which ones might possibly be represented by the graph. The...
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Graphing Quadratic Equations
Review the form of a quadratic function, and the parabola it creates. Continue on with the whole group to work through a mini-lab, practicing how to graph quadratic equations with one variable. The goal of this activity is for the group...
Illustrative Mathematics
Interpreting the graph
The purpose of this exercise is to give practice in reading information about a function from its graph. Learners are given graphs of two functions on the same axes. The task is to locate and label various key points on the graph that...
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