f(x) = abx for exponential growth and f(x) = ab-x for exponential decay.
Here 'a' is the initial quantity, 'b' is the growth or decay factor, and 'x' is the time step.
Given a graph of a line, we can write a linear function in the form y=mx+b by identifying the slope (m) and y-intercept (b) in the graph.
GIven a graph of an exponential curve, we can write an exponential function in the form y=ab^x by identifying the common ratio (b) and y-intercept (a) in the graph.
To determine the initial value of an exponential function from a graph, you need to identify the y-intercept.
The y-intercept is the point where the graph intersects the y-axis.
This is because, in an exponential function of the form y = ab^x, when x = 0, y = a.
We can graph an exponential function, like y=5ˣ, by picking a few inputs (x-values) and finding their corresponding outputs (y-values).
We'll see that an exponential function has a horizontal asymptote in one direction and rapidly changes in the other direction.
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Tasks include linear quadratic |
Graphing Exponential Functions
Mar 27 2015 Include recognizing even and odd functions from their graphs and algebraic expressions for them. ... Graphing Exponential Functions (Day 2). Page ... |
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Algebra 2. 10.2 Notes: Graphing Exponential Functions & Base e (Day 1). Graphing Exponential Functions: Linear Parent Function: y = 2*. |
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Glencoe Algebra 2 Graphing Exponential Functions ... The graphs of exponential equations can be transformed by changing the value of the constants a h |
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Intermediate Algebra 9 1 Graphing Exponential Create a table of values for each exponential function Then sketch the graph of each function 1) f (x) = (1 2) x |
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Kuta Software Infinite Algebra 2 Graphing Exponential Functions Sketch the graph of each function 1) y = 4 ∙ 2x x y 6 4 2 2 4 6 2 4 6 8 10 12 14 16 |
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An exponential function that goes up from left to right is called “Exponential Growth” In Example 2, the graph goes downwards as it goes from left to right making it a decreasing function An exponential function that goes down from left to right is called “Exponential Decay” |
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Algebra 2 Name Period Graphing Exponential Functions Sketch the graph of each function 1) y = 2 ⋅ 3x |
[PDF] Graph each function State the domain and range 1 f (x) = 2
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Kuta Software Infinite Algebra 2 Graphing Exponential Functions Sketch the graph of each function Date Period 1) y=424 2 19 Domain ( os ) Range |
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2017 Ku ta Software LLC All rights reserved Graphing Exponential Growth Functions Sketch the graph of each function 1) y= 2 2* 2) y = 524 20 » 6 4 2 2 4 |
[PDF] Graphing Exponential Functions - Scarsdale Public Schools
Now, let's look at how to graph the exponential function x y 3 = x x y 3 Ex 2 By looking at the graph above, list the domain and range of the function x y 3 = Algebra 1 Name Unit Exponential Functions Date Homework Hour Graphing |
[PDF] Infinite Algebra 2 - Graphing Exponential Functions
Graphing Exponential Functions *** reserved Date Period Make a table of values with at least 5 coordinate pointsSketch the graph of each function 2) y= 2 · 2 |
[PDF] Infinite Algebra 2 - Review: Graphing Exponential Functions
2015 Kuta Software LLC All rights reserved Date Period Review Graphing Exponential Functions Sketch the graph of each function 1) f(x) = (3) 2) f(x) = 4* |
[PDF] Graphing Exponential Functions
Infinite Precalculus Graphing Exponential Functions 1 Sketch the graph of each function 1) y = 1 2 ∙ 5x x y 6 4 2 2 4 6 2 4 6 8 10 12 14 16 18 |
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