Power Function Teacher Resources
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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 power functions. To aid them in their exploration, students compute specified function values at key points and find points of intersection of the graphs. The graphs can be sketched by hand or with the use of a graphing calculator.
Comparing Exponential and Power Functions
High schoolers compare and contrast exponential and power functions. In this precalculus lesson, students identify the value of x, using the graph as a visual. They compare functions with base of greater than one, to base of less than one.
Students solve problems using algebraic exponential properties. In this algebra instructional activity, students write an equation given a graph of an exponential function.
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.
Students identify the different properties of exponential functions. In this algebra lesson, students graph and analyze exponential functions as it relates to growth and decay. They apply the laws of exponents to add, subtract, multiply and divide exponential functions.
Exponential vs. Power
Pupils differentiate between exponential and power functions. They identify the base, exponent and properties of exponential functions. They also graph the functions using the TI calculator.
Powers and Roots as Inverses-ID: 9826
Texas Instruments has composed yet another lesson to get your class using the TI-Inspire calculator to solve power and root functions. They find similarities and differences in the graphs of even and odd power and root functions then group them as families of functions. They then examine the inverse relationship among these functions.
Unit Plan On Quadratic Equations
Students explore a variety of ways of solving quadratic equations. Students choose from graphing, factoring, finding square roots, completing the square and using the Quadratic formula. They ponder in the end on polynomial equations.
Students define rational functions and solve to find the long run behavior. In this algebra instructional activity, students identify functions by the given formula, from a graph or from a horizontal asymptote describing the long run behavior of a rational function.
Power Function Inverses
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 verify functions.
Exploring Power Functions 1
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.
Exploring Power Functions 2
Young mathematicians learn to write algebraic equations. They solve and graph different polynomial functions with different powers. They then graph radicals and identify the domain and range.
Watts Up Doc?
Students examine the wattage of a light bulb using math. For this algebra lesson, students find the inverse square of given parameter. They work in groups collecting and analyzing data.
Students add subtract and multiply rational functions. In this algebra lesson, students identify the domain and range of each function. They predict the end behavior of the graph based on the power of the polynomial.
Rational Exponents and Power Functions
In this math worksheet, students are given 17 mathematical expressions involving rational exponents and power functions to simplify.
Match the Pattern
What's my function? Your class will work in pairs to determine which type of function is described in 14 different scenarios. Linear, quadratic, exponential and power functions are represented in a variety of ways: numerically, graphically, verbally, and analytically. Included are complete lesson plans, an activity sheet with answers, and a quick assessment to use at the end of the lesson.
Applications of Exponential Functions
Exponential functions are the name of the game. Young mathematicians can work through each of the eight worksheets by evaluating functions, applying logarithms, completing logarithmic functions, and building inverse functions. This would be a great set of worksheets to accompany an entire chapter.
In some ways, the digital world is a living, evolving organism. Take a look at a popular theory that helps to explain some big questions about connections. The video defines networks, power functions, nodes and hubs, and includes an example for each term. Class members can watch the vibrantly animated video and then complete the provided questions.
This lesson is all about polynomial functions, graphs, and parabolas! It even comes with quite a few follow along worksheets. Get your class graphing polynomial functions with a degree higher than two, identifying the function represented by a graph, and finding the zeros and intercepts. A very thorough lesson.
Inverse Functions: Pennies, Pressure, Temperature and Light
The major goal of this activity is to collect data from a variety of experiments, and then determine what type of model best fits the data, and explain why. Students will explore a variety of relationships using pennies, pressure, temperature, light, and pe