How does one Graph an Exponential Equation?

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Presentation transcript:

How does one Graph an Exponential Equation? Daily Question How does one Graph an Exponential Equation?

It’s an Exponential Growth Function when… b is greater than1 OR if the exponent is negative and it flips b and b is greater than 1

It’s an Exponential Decay Function when… b is a fraction (greater than 0 and less than 1) OR if the exponent is negative and it flips b and b is less than 1

State whether f(x) is an exponential growth or exponential decay

State whether f(x) is an exponential growth or exponential decay

Transformations

Describe the transformation. Up 2 Down 5 Left 1

Describe the transformation. Right 3 Reflect across the x-axis (flips) Up 2

Domain and Range

Domain ALL REAL

Range Use k If a is positive use If a is negative use

Identify the domain and range.

y = k Asymptote A line that a graph approaches but will never touch Horizontal, Dashed line

Identify the asymptote of the graph of the function. the x-axis

X-Int: (#, 0) - Where the graph crosses the x-axis Y-Int: (0, #) - Where the graph crosses the Y-axis

Read from left to right! Increasing: up from left to right Decreasing: down from left to right

End Behavior { } Domain Range

Let’s Practice