Exponential decay functions
1 answer:
Exponential decay function is a form of an exponential function
<h3>What are exponential decay function?</h3>These are exponential functions that reduce in value as the input value increases.
This in other words, means that the rate of an exponential decay function is less than 1.
An exponential function is represented as:
Where b is the rate.
When b < 1, the function is an exponential decay function
For instance:
is an exponential decay function
Read more about exponential function at:
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Answer:
When a graph has 2 x-intercepts, it will have positive discriminant & when a graph has NO x-intercepts, it will have negative discriminant.
Step-by-step explanation:
In a quadratic equation, the discriminant is the value of . This is "under the square root sign" when solving using quadratic formula.
Thus, there can be 3 possibilities:
1. Discriminant is 0 ( 2 equal real roots - meaning 1 touching point at the x-axis in the graph)
2. Discriminant can be positive ( 2 distinct real roots - meaning 2 cutting point in the x axis)
3. Discriminant can be negative ( 2 complex roots - meaning NO cutting point in x-axis)
Thus, when a graph has 2 x-intercepts, it will have positive discriminant & when a graph has NO x-intercepts, it will have negative discriminant.