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[DOCX File]Combined: Linear and Exponential Modeling
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The formula for an exponential function is similar to the formula for finding the terms in a geometric sequence. An exponential function takes the form . where is the starting amount and is the amount by which the total is multiplied every time. For example, the bacteria problem above would have the equation . Compare Graphs of Exponential ...
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[DOC File]Domain and Range
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A. Find the growth factor, b, and explain what it tells you about tuition increases. B. Find the equation that represents the average cost of tuition at four-year universities as a function of time, with corresponding to 1996. C. Use this model to estimate the average cost of tuition in 2003. D. Find the year that the average tuition would be ...
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[DOC File]Applications of Exponential and Logarithmic Functions
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Section 5: Transforming Exponential Functions, and . A Different Look at Linear Functions ~Teacher Notes. Objective 1: Students will be able to make an accurate sketch of vertically shifted and/or reflected exponential functions, and to identify the equation of a base two exponential function from its graph.
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[DOC File]Exponential Functions & Their Applications
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Linear Function. Exponential Function. f(x) = mx + b or f(x) = m(x – x 1) + y 1. f(x) = a · bx. b is the starting value, m is the rate or the slope.. m. is positive for growth, negative for decay. a is the starting value, b is the base or the multiplier.. b > 1 for growth, 0 < b < 1 for decay.See below for ways to find …
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Find the equation of an exponential function | MATH 1314: Colleg…
Now let’s take a look at an exponential function that models exponential growth – namely population growth. Example: a) *The population of a small country in Central America is growing . according to the function P(t) = 2,400,000e0.03t, where t is the . number of years since 1990. Create a …
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[DOC File]Module 2: Exponential Models
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Find an equation for the exponential function graphed below. The initial value for the function is not clear in this graph, so we will instead work using two clearer points. There are three fairly clear points: (-1, 1), (1, 2), and (3, 4). As we saw in the last example, two points are sufficient to find the equation for a standard exponential ...
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[DOC File]Unit 6: Exponential and Logarithmic Functions
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If the inverse of a function is not a function, we can restrict the domain so that the inverse is a function. Example: Consider If we try to find a formula for the inverse, we have. This is not the equation of a function. We can, however, only consider inputs from This will yield an inverse that is a function. EXPONENTIAL FUNCTIONS AND GRAPHS
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Find the equation of an exponential function