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  1. 10 Απρ 2022 · How to: Graph an exponential function of the form \( f(x)=b^{x+c}+d\) Draw the horizontal asymptote \(y=d\). Identify the shift as \((−c,d)\). Shift the graph of \(f(x)=b^x\) left \(c\) units if \(c\) is positive, and right \(c\) units if \(c\) is negative.

  2. 12 Φεβ 2016 · Start practicing—and saving your progress—now: https://www.khanacademy.org/math/alge... Given the graph of an exponential function with a negative initial value, Sal finds the formula...

  3. This lesson focuses on graphing an exponential function with a negative exponent. The function focused on is f (x) = 2^-x.

  4. Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.

  5. 6 Οκτ 2021 · Identify and evaluate exponential functions. Sketch the graph of exponential functions and determine the domain and range. Identify and graph the natural exponential function. Apply the formulas for compound interest.

  6. Example \(\PageIndex{2}\): Graphing a Shift of an Exponential Function. Graph \(f(x)=2^{x+1}−3\). State the domain, range, and asymptote. Solution. We have an exponential equation of the form \(f(x)=b^{x+c}+d\), with \(b=2\), \(c=1\), and \(d=−3\). Draw the horizontal asymptote \(y=d\), so draw \(y=−3\).

  7. This free textbook is an OpenStax resource written to increase student access to high-quality, peer-reviewed learning materials.

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