Determine which functions are exponential functions. 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.
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Characteristics of exponential functions worksheet. Then find each of the following. G what is the end behavior. Any transformation of y bx is also an exponential function.
F x 4x 1 x y a describe the transformations to the parent function. 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.
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. 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. C what is the domain and range.
B what is the asymptote. The first is the guided notes that i use with my students to identify all of the characteristics of exponential functions including. F what are the intercepts.
D what is the interval of increase decrease. Notice from the table that. The output values are positive for all values of x.
For those that are not explain why they are not exponential functions. 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. Exponential function a function in the form y ax where a 0 and a 1 another form is.
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. L 62j0 81v2u gk humtgat hsfosfit ew za qrje w pl ylicj. Describe the domain range intervals of increase decrease end behavior intercepts.
4 4 characteristics of an exponential function acc math i graph. Increasing or decreasing domain and range x and y intercepts asymptote and end behavior the second resource is a simple. 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.
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