[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]
[tex]\huge\underline{\sf{\red{Problem:}}}[/tex]
- 2. Which example below represents expönential decay?
[tex]\huge\underline{\sf{\red{Choices:}}}[/tex]
- A. The balance ön yöur city bus pass if yöu ridë the bus twice a day every day.
- B. The number öf views a pöpular (Tik Tök) gets över time
- C. The number öf teams cömpeting as a tournament prögresses
- D. The gröwth of an inväsive species öf plants.
[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]
- B. The number of views a pöpular (Tik Tök) gets över time.
[tex]\huge\underline{\sf{\red{Problem:}}}[/tex]
- 4. How can you determine if a table is a linear function or an exponential function?
[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]
- Exponential and linear refer to the type of a function by looking at the power of the independent variable.A linear function is one where the independent variable is to the power of 1.
- For example, in the linear equation y = mx+b, x is the aforementioned independent variable. The term linear comes from the plot of the function; regardless of the values of m and b, the graphed function will always be a line.
- An exponential function is one where the independent variable is to a non-trivial (not 0th or 1st) power. These are typically of the form y=a⋅bx. The term exponential comes from the use of exponentiation in the independent variable.
- An exponential graph is curved upwards, while a linear graph is a straight line. One of the most important distinctions between linear and exponential functions is how (and how quickly) they increase or decrease.
- Linear functions increase proportionally; an increase in x has a corresponding additive increase in y.
- Exponential functions, however, increase exponentially; that is, an increase in x has a corresponding multiplicative increase in y.
[tex]\huge\underline{\sf{\red{Note:}}}[/tex]
- The graph that i attached shows a linear function (red) and an exponential function (blue).
[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]
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✍︎ C.Rose❀
