Math MCU Properties and Interval Notation

For each of the following, determine if the graph shows a function, find the domain, find the range, find the intercepts, find , and find

1. 2.

3. 4.

5. 6.

7. 8.

9. For each of the following, find the domain, range, , extremes, variations and signs.

A) B)

10.For each of the following draw the inverse.

A) B)

C) D)

E) F)

11.Draw a function that satisfies the following conditions.

A) Domain =Range =

B) Inc: Dec: Neg: n/aMin=0

12.The following graph shows the change in the temperature (in degrees Celsius) of a cup of coffee left outside on a picnic table over time (in minutes)

A) Over what interval was the temperature decreasing?

B) Over what interval was the temperature decreasing the fastest? The slowest?

C) With the idea that coffee freezes at -10 degrees. Over what interval was the coffee in liquid form? In solid form?

D) What was the maximum temperature of the coffee? When did this occur?

E) What was the minimum temperature of the coffee? When did this occur?

13.Express each of the following using interval notation.

A) is a minimum of 4 and a maximum of 12

B) is at least 7

C) is no more than -2

D) is a less than 8

E) is a more than 0 but smaller than 3

F) is at least -4 but at most 1

G) is a maximum of -6

H) is no less than 4

I) is upto -2

J) is at most 5 and more than 3

K) is less than 4 and more than 5

L)

M) and

14.Express each of the following in words

A)

B)

C)

D)

E)

F)

G)

H)

I)

J)