Write an exponential function that begins its rapid increase

Can you describe them in words? Explain the significance of points whose coordinates are of the form 0, x and 1, x and demonstrate how these points can be used to write the equation. More information about applet.

Math Insight

Questions Eliciting Thinking What do the values in the equation tell you about the exponential equation and its graph? You can see this fact through the above applet. Got It The student provides complete and correct responses to all components of the task. Calculates the slope of the line containing 0, 0.

Instructional Implications Provide specific feedback to the student and allow the student to correct the error.

Writing an Exponential Function From Its Graph

What is the difference between f and f x? Examples of Student Work at this Level The student: Questions Eliciting Thinking What is the basic form of an exponential function? Is unable to solve the equation to find the growth factor.

Also, provide opportunities for the student to write exponential functions given a verbal description, a graph, or a table of values.

Examples of Student Work at this Level The student correctly identifies the initial amount but: If you are curious why this is true, you can check out the calculation showing the two parameters are redundant. The function machine metaphor is useful for introducing parameters into a function.

Writes the exponent as x — 1 rather than x. Did you write the function? What does function notation look like?

The presence of this doubling time or half-life is characteristic of exponential functions, indicating how fast they grow or decay.Correctly calculates the initial amount and growth factor, but neglects to write the exponential function.

Provide additional opportunities to write exponential functions given their graphs. Writing an Exponential Function From Its Graph worksheet; SOURCE AND ACCESS INFORMATION. Chapter 10 Quadratic and Exponential Functions • parabola (p.

) • completing the square (p. ) Chapter 10 Quadratic and Exponential Functions Make this Foldable to help you organize information on quadratic and exponential functions. Begin with four sheets of grid paper.

Write an exponential function that begins its rapid increase when 2 is less than or equal to x is less than or equal to 3.

write another that begins its rapid increase when 3 is less than or equal to x is less than or equal to 4. Open-Ended Write an exponential function that begins its rapid increase Write a third that begins its rapid increase when 6 Chapter 6 worksheet answers.

Exponential relation, exponent of the base number, exponential graph, exponential growth, exponential decay, domain of an exponential function, range of an exponential function. Open-Ended Write an exponential function that begins its rapid increase when 2 ≤ x ≤ 3.

Write another that begins its rapid increase when 3.

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Write an exponential function that begins its rapid increase
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