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In Section \ref{ExpEquations} we solved equations and inequalities involving exponential functions using one of two basic strategies. We now turn our attention to equations and inequalities involving logarithmic functions, and not surprisingly, there are two basic strategies to choose from.


Enter the given exponential equation in the line headed “Y 1 =”. Enter the given value forf(x) f(x) in the line headed “Y 2 =”. Press [WINDOW]. Adjust the y-axis so that it includes the value entered for “Y 2 =”. Press [GRAPH] to observe the graph of the exponential function along with the line for the specified value off(x). f(x).


The graph of f(x) should be exponential decay because b < 1. The graph should pass through the point (0, 1) and there should be a horizontal asymptote at the x ­axis. Features of the Graph of Exponential Functions in the Form f(x) = b x or y = b x • The domain of f(x) = b x


Algebra 1 Unit 5: Comparing Linear, Quadratic, and Exponential Functions Notes 5 Writing Equations from a Graph or Table Linear Functions y = mx + b y = (slope)x + y-intercept slope = # you add/sub each time y-intercept: starting amount or y-value when x = 0 Quadratic Functions y = a(x – 2h) + k


Writing Exponential Functions. A.CED.1 – Create equations in one variable and use them to solve problems. Create Tables & Graphs of Exponential Functions (from Scenarios) F.LE.2 – Construction of Exponential Functions, Graphs, scenarios, & a table. F.IF.7e – Graph exponential functions. Interpret Key Features of Exponential Functions


Section 6.3 Exponential Functions 307 STUDY TIP The graph of y = abx approaches the x-axis but never intersects it. 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.

www.pearlandisd.org/cms/lib/TX01918186/Centricity/Domain/3368/3B Writing...

EXPONENTIAL FUNCTIONS Determine if the relationship is exponential. If so, determine a function relating the variable. > Is it exponential? no What is the starting point (a)? What is the common ratio (B)? Write the equation in y=a(B)x form: x y 1 26 2 24 3 22 4 20 5 18 > > 22÷24 = .917 20÷22 = .909 > 18÷20=.9 24÷26 = .923


Writing Exponential Equations from Points and Graphs. You may be asked to write exponential equations, such as the following: Write an equation to describe the exponential function in form \(y=a{{b}^{x}}\), with a given base and a given point. Write an exponential function in form \(y=a{{b}^{x}}\) whose graph passes through two given points.


Writing Transformations of Graphs of Functions Writing a Transformed Exponential Function Let the graph of g be a refl ection in the x-axis followed by a translation 4 units right of the graph of f (x) = 2x. Write a rule for g. SOLUTION Step 1 First write a function h that represents the refl ection of f. h(x) = −f (x) Multiply the output by ...


Math 106 Worksheets: Exponential and Logarithmic Functions. Exponential and Logarithmic Functions: Exponential Functions. Graphing Exponential Functions. Asymptotes 1. Asymptotes 2. Solving Exponential Equations. The Meaning Of Logarithms. Properties Of Logarithms. Graphing Logarithms. Inverse Of Logarithms. Rewriting Logarithms. Change Of Base ...