The characteristics of the function g(x) are:
- The function represents exponential decay
- The function is gotten by translating, reflecting and stretching f(x)
- The equation of asymptote is y = 3
<h3>What is the equation of asymptote?</h3>
This is the point where the denominator of the function equals 0.
From the graph of the function, the function g(x) has an horizontal asymptote at y = 3
<h3>What are the transformations?</h3>
From the graph, we notice that:
- Both curves face opposite directions; this represents reflection.
- The green curve is wider than the orange curve; this represents stretch.
- The green curve is below the orange curve; this represents translation.
Hence, the function is gotten by translating, reflecting and stretching f(x)
<h3>What does the rate of the function represent?</h3>
From the graph, we notice that:
As the x-values increase, the y-values increase
This means that, the graph represents decay
Read more about exponential function at:
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