Determine which functions are exponential functions. Any transformation of y bx is also an exponential function.
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For those that are not explain why they are not exponential functions.
Characteristics of exponential functions worksheet. L 62j0 81v2u gk humtgat hsfosfit ew za qrje w pl ylicj. Describe the domain range intervals of increase decrease end behavior intercepts. Y abx c in this case a is the coefficient to graph exponential function make a table initial value the value of the function when x 0 also the y intercept.
Then find each of the following. F what are the intercepts. D what is the interval of increase decrease.
Section 3 5 exponential functions definition of an exponential function an exponential function is a function that can be represented by the equation f x abx where a and b are constants b 0 and b 1. Sec 4 5 describing characteristics of exponential functionsname. In fact for any exponential function with the form f x abx f x a b x b is the constant ratio of the function.
The output values are positive for all values of x. Exponential function a function in the form y ax where a 0 and a 1 another form is. O y wamldl k urmihg jhyt xse frqenspeur tvze hd 9 k g bm2a jd yed iw gi yteh d xi knhfai dnoi nt4em ia elag4ebbarea 2 l1 2 v worksheet by kuta software llc kuta software infinite algebra 1 name exponential functions date period.
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. This means that as the input increases by 1 the output value will be the product of the base and the previous output regardless of the value of a. Increasing or decreasing domain and range x and y intercepts asymptote and end behavior the second resource is a simple.
B what is the asymptote. C what is the domain and range. Notice from the table that.
Unit 1 exponential functions draft august 2007 last saved 20 08 2007 at 3 13 pm 4 1 1 2 the graphs of exponential functions continued y 2x y 4x 10x y intercept is. F x 4x 1 x y a describe the transformations to the parent function. 4 4 characteristics of an exponential function acc math i graph.
Exponential and logarithmic functions worksheets october 3 2019 august 28 2019 some of the worksheets below are exponential and logarithmic functions worksheets the rules for logarithms useful properties of logarithms simplifying logarithmic expressions graphing exponential functions. The first is the guided notes that i use with my students to identify all of the characteristics of exponential functions including. G what is the end behavior.
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