Lessons 1-2
Unit 4.1 - This type of pattern grows faster than adding the same amount each time over and over again.
exponential growth
Unit 4.3 - f(x) = 4ˣ, then what does f(0.5) equal?
2
Unit 4.5 - True or False - Exponential functions change by different factors for different intervals
False
Unit 4.6 - True or False: You can write an exponential function even if inputs are not only 1 unit apart?
Unit 4.7 - 200 grams becomes 100 grams after 6 hours, what is called?
Half life
Unit 4.1 - A function that shrinks by 50% each time has a factor of this
0.5
Unit 4.4 - Describe exponential change between any two inputs, you will also find this between the outputs
The ratio
Unit 4.5 - x=1 to x=2, f(x) changes by a factor of 4. It goes from x=2 to x=3, What will be the factor?
Factor of 4
Unit 4.6 - What is the form of an exponential function?
F(x)= a·bˣ
Unit 4.7 - If 100 grams becomes 50 grams in 5 years, how long does it take for half to go away
5 years
Unit 4.2 - The table is showing values that is cut in half each time, what does this represents?
exponential decay
Unit 4.3 - The Square root of a number is an example of what kind of input?
a rational (or non-whole number) input
Unit 4.5 - an exponential function, going from x = 0 to x = 0.5 changes the value by a smaller amount. That smaller amount is called what?
The square root of the growth number
Unit 4.6 - What are the two things you need to write an exponential equation?
two input-output pairs
Unit 4.7 - A half-life decay factor is always what value?
Unit 4.2 - What do exponential graphs do as x increases?
curve upward or downward
Unit 4.4 - A function value is going from 100 to 80 from input 0 to 1, what is the decay factor of this function?
0.8
Unit 4.5 - Why does the graph of an exponential function look smooth and curved?
Because the number keeps getting multiplied by the same amount, even in tiny steps.
Unit 4.6 - If the number keeps getting multiplied by 2, what is the growth number?
Growth number is 2
Unit 4.7 - When something gets smaller over time, like in half life, what is this called?
An exponential decay