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A typical formula for exponential decay is y(t) = c*exp(-r*t) , where r > 0.

The domain is all reals, and the range is all positive reals, since a positive-base exponential always returns a positive value.

Q: How do you find the domain and range of an exponential decay equation?

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Domain is the independent variable in an equation. It is what you put "in" the equation to get the Range.

You need to know the domain first. For each value in the domain there will be a value for the function (or expression). These may not all be different. The set of these values is the range of the equation.

Find all possible "x" and "y" values for domain and range. Then put it in inequality form. For example the domain and range for the equation 2x-3/x-5 would be: Domain: All Reals; x>5 Range: All Reals

Any equation which maps each value of x in the domain to a value in the range is a function of x.

The domain and range are two different sets associated with a relationship or function. There is not a domain of a range.

Related questions

Domain is the independent variable in an equation. It is what you put "in" the equation to get the Range.

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Which equation can have the following domain and range? {x | 8 ≤ x ≤ 14} {y | 29 ≤ y ≤ 53}Answer this question…

y = 4(2x) is an exponential function. Domain: (-∞, ∞) Range: (0, ∞) Horizontal asymptote: x-axis or y = 0 The graph cuts the y-axis at (0, 4)

The domain and range are both [-6, +6].

You need to know the domain first. For each value in the domain there will be a value for the function (or expression). These may not all be different. The set of these values is the range of the equation.

domain is set of real numbers range is set of real numbers

The domain and range of the equation y = 2x+8 are both [-infinity,+infinity].

Not necessarily. The domain could well be restricted and, in that case, so will the range.

The answer depends on the domain for x. For example, if the domain is x = 7, then the range is 55. If the domain is all Real numbers, then the range is y >= 6.

Find all possible "x" and "y" values for domain and range. Then put it in inequality form. For example the domain and range for the equation 2x-3/x-5 would be: Domain: All Reals; x>5 Range: All Reals

Any equation which maps each value of x in the domain to a value in the range is a function of x.