Lecture 1

Question 1

what does it mean if a function is growing but slowing down?

Answer 1

the function is increasing an concave down

Question 2

what is a domain?

Answer 2

the range of the x values

Question 3

what is a range?

Answer 3

the range of the y values

Question 3

why does a square root function only have a positive domain?

Answer 3

because only positive numbers can be square-rooted

Question 4

what is the form of linear functions and what does each variable mean in the general formula?

Answer 4

y=mx+b
b=y-intercept
m=slope
x=input
y=output

Question 5

how can you tell if a table of values is a linear function?

Answer 5

find the difference between all the y values. If all the differences are the same, then the table represents a linear function

Question 5

how can you tell if a table of values is a exponential function?

Answer 5

if the ratio between all the y values are the same

Question 6

when is there exponential growth in terms of the base?

Answer 6

when the base is greater than 1 after subtracting 1

Question 7

when is there exponential decay in terms of the base?

Answer 7

when the base is between 0 and 1 after subtracting 1

Question 8

in an exponential problem, how can you solve it when asked what the output would be if it were cut in half?

Answer 8

1. take the initial values and divide it by
2. set the exponential function equal to that answer
3. solve for t

Question 9

When is an exponential model better than a linear function?

Answer 9

when dealing the scenarios involving exponential growth

Question 10

what can you do if you have an exponent in the numerator and the denominator with the same base?

Answer 10

subtract the numerator exponent from the denominator exponent