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    • Exponential Functions | Systry
    • Exponential Functions - Cuemath
    • Exponential Functions - Cuemath
    • How to find equations for exponential functions | StudyPug

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  2. www.khanacademy.org › math › algebraExponential function graph | Algebra (video) | Khan Academy

    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.

  3. math.libretexts.org › Courses › Monroe_Community4.2: Graphs of Exponential Functions - Mathematics LibreTexts

    Apr 10, 2022 · How to: Graph a basic exponential function of the form \( y=b^x\) Draw and label the horizontal asymptote, \( y=0. Create a table of points and use it to plot at least \(3\) points, including the \(y\)-intercept \( (0, 1) \) and key point \( (1, b) \).

    • What does a graph of an exponential function look like?1
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  4. brilliant.org › wiki › exponential-functions-graphs-easyGraphs of Exponential Functions | Brilliant Math & Science Wiki

    The graph of an exponential function is a strictly increasing or decreasing curve that has a horizontal asymptote. Let's find out what the graph of the basic exponential function y=a^x y = ax looks like: (i) When a>1, a > 1, the graph strictly increases as x. x.

  5. math.libretexts.org › Bookshelves › Algebra6.2: Graphs of Exponential Functions - Mathematics LibreTexts

    • Graphing a Vertical Shift. The first transformation occurs when we add a constant \(d\) to the parent function \(f(x)=b^x\), giving us a vertical shiftd d units in the same direction as the sign.
    • Graphing a Horizontal Shift. The next transformation occurs when we add a constant \(c\) to the input of the parent function \(f(x)=b^x\), giving us a horizontal shift \(c\) units in the opposite direction of the sign.
    • Graphing a Stretch or Compression. While horizontal and vertical shifts involve adding constants to the input or to the function itself, a stretch or compression occurs when we multiply the parent function \(f(x)=b^x\) by a constant \(|a|>0\).
    • Graphing Reflections. In addition to shifting, compressing, and stretching a graph, we can also reflect it about the x-axis or the y-axis. When we multiply the parent function \(f(x)=b^x\) by \(−1\),we get a reflection about the x-axis.

  6. courses.lumenlearning.com › wmopen-collegealgebraGraphs of Exponential Functions | College Algebra

    Determine whether an exponential function and its associated graph represents growth or decay. Sketch a graph of an exponential function. Graph exponential functions shifted horizontally or vertically and write the associated equation. Graph a stretched or compressed exponential function.

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