Power Function Teacher Resources

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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.   
Students 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 lesson, students write an equation given a graph of an exponential function.
In 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.
Learners identify the different properties of exponential functions. In this algebra lesson plan, 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.
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.
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. 
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.
Young scholars define rational functions and solve to find the long run behavior. In this algebra lesson, students identify functions by the given formula, from a graph or from a horizontal asymptote describing the long run behavior of a rational function.
Learners examine the wattage of a light bulb using math. In 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. For 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.
Students investigate scatterplots for the-line of best fit or linear regression. In this statistics lesson, students collect data, graph and analyze it using graphs. They differentiate between inductive and deductive reasoning.
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.
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.
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.
For this math worksheet, students are given 17 mathematical expressions involving rational exponents and power functions to simplify.
Ideal for your electricity unit, especially with middle schoolers, this lesson plan gets engineers using multimeters in electrical circuits to explore the relationships among voltage, current, and resistance. Older learners may even plot data on graphs to see the E-I curves. It's a full-fledged resource for your physical science learners!
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.
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.
In this graphing calculator learning exercise, students explore the necessary steps in using a graphing calculator to simply square root, cubed root, and xth root functions. Afterwards, they independently solve three story problems involving roots and powers. One problem is multiple choice, and the other problems are multi-step and open ended.

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