fits the given For each of the following scenarios, determine what type of function – linear or power description, and find a formula for y = f (x). Assume for all the situations that y = 1 when x = 1. (a) Each time x increases by a factor of 2, y increases by a factor of 4. (b) Each time x increases by a factor of 2, y increases by a factor of 8. (c) Each time x increases by 1, y increases by 3. (d) Each time x increases by 1, y decreases by 3. (e) Each time x increases by a factor of 2, y decreases by a factor of 2. (f) Each time x increases by a factor of 2, y decreases by a factor of 4.
fits the given For each of the following scenarios, determine what type of function – linear or power description, and find a formula for y = f (x). Assume for all the situations that y = 1 when x = 1. (a) Each time x increases by a factor of 2, y increases by a factor of 4. (b) Each time x increases by a factor of 2, y increases by a factor of 8. (c) Each time x increases by 1, y increases by 3. (d) Each time x increases by 1, y decreases by 3. (e) Each time x increases by a factor of 2, y decreases by a factor of 2. (f) Each time x increases by a factor of 2, y decreases by a factor of 4.
Chapter3: Functions
Section3.7: Inverse Functions
Problem 2SE: Why do we restrict the domain of the function f(x)=x2 to find the function's inverse?
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Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
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