How do you graph $y = - 2^{x}$ $y=-2^x$ ?

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Answer 1 · 2018-05-14T11:46:38

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Create a data table to graph the **exponential function : ** $y = - 2^{x}$ $color(red)(y=-2^x$

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$Step 1 :$ $color(green)("Step 1 :"$

Create a data table:

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Closely examine the values for $x$ $x$ and $y$ $y$

No value of $x$ $x$ makes $y$ $y$ zero.

So, the graph gets closer and closer to the x-axis but never touches the x-axis.

Hence, $y = 0$ $color(brown)(y=0$ is the horizontal asymptote.

$Step 2 :$ $color(green)("Step 2 :"$

Using the data table, graph the function $y = f (x) = - 2^{x}$ $y =f(x)=-2^x$

For easy comprehension, graph the exponential function $y = f (x) = 2^{x}$ $y=f(x)=2^x$ , it's parent function.

Compare both the graphs to understand the behavior of the given exponential function $y = f (x) = - 2^{x}$ $y=f(x)=-2^x$

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The graph of $y = f (x) = - 2^{x}$ $y =f(x)=-2^x$ is reflected about the x-axis ** when the sign of $f (x)$ $f(x)$ is negative**.

How do you graph y=−2xy=-2^x?