Exponential functions an exponential function has the form y. Graphing exponential functions the graph of a function y abx is a vertical stretch or shrink by a factor of a of the graph of the parent function y bx when a 0 the graph is also refl ected in the x axis the y intercept of the graph of y abx is a.
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Some of the worksheets for this concept are 4 1 exponential functions and their graphs exponential function work and answers exponential and logarithmic functions work answers writing exponential functions from tables exponential functions date period exponential functions work 1 concept 17 write exponential equations.
Exponential functions practice worksheet answers. Determine which functions are exponential functions. Section 6 1 exponential functions 275 study tip the graph of y abx approaches the x axis but never intersects it. Smithers403 last modified by.
This quiz and worksheet combo will help you evaluate your comprehension of exponential functions a commonly used equation where the base is a constant and the independent variable is the exponent. Properties of an 2. The x axis is the asymptote of the graph.
Abx where a 0 b 0 and b 1. Exponential transformations worksheet 4 write the equation for the function that results from each transformation applied to the base function 𝑓 13 𝑥 a reflect in the x axis vertical reflection b stretch vertically by a factor of 3 c stretch horizontally by a factor of 2 4 d reflect horizontally stretch vertically by factor of 4. The domain is the set of all real numbers.
The range is the set of all positive numbers if a 0 and all negative. Mathematics vision project mvp mathematics vision. Any transformation of y bx is also an exponential function.
For those that are not explain why they are not exponential functions. If you found these worksheets useful please check out hyperbolic functions worksheet indefinite integrals and the net change theorem worksheets finding the most general an tiderivative of a function l h opital s rule worksheet maxima and minima worksheet mean value theorem for integrals calculus quotient rule derivative functions and. 4 22 2013 3 20 00 am company.
An exponential function f with base b is defined by f or x bx y bx where b 0 b 1 and x is any real number. The function is continuous and one to one. Displaying top 8 worksheets found for writing exponential functions.
Algebra 2 chapter 10 worksheet 1 exponential functions. Evaluate the following expressions given the functions below algebra writing exponential functions from tables practice riddle worksheet this is an 15 question riddle practice worksheet designed to practice and reinforce the concept of writing an exponential function f x given a table. Algebra 2 chapter 10 worksheet 1 exponential functions author.
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