Deck 1: Functions and Models

Question 1

Answer 1

Question 2

Evaluate the limit.

Answer 2

Question 3

Evaluate the limit.

Answer 3

Question 4

Find the limit.

Question 5

Write an equation that expresses the fact that a function

Question 6

Question 7

Evaluate the limit.

Question 8

Determine whether f is even, odd, or neither.

Question 9

Question 10

Find the domain of the function.

Question 11

Evaluate the limit.

Question 12

The position of a car is given by the values in the following table.

Question 13

Question 14

Find the limit.

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20

Question 21

How close to 2 do we have to take x so that is within a distance of 0.01 from 13?

Question 22

Question 23

Question 24

Question 25

Find the domain of the function.

Question 26

Question 27

Evaluate the limit.

Question 28

Consider the following function.

Question 29

Question 30

Evaluate the limit.

Question 31

Find the limit.

Question 32

By graphing the function

Question 33

Question 34

Evaluate the function

Question 35

Question 36

Question 37

Find the limit.

Question 38

Question 39

Question 40

Question 41

Question 42

Question 43

Question 44

Question 45

Question 46

Question 47

Question 48

Question 49

Question 50

Question 51

Question 52

A cardiac monitor is used to measure the heart rate of a patient after surgery. It compiles the number of heartbeats after $t$ minutes. When the data in the table are graphed, the slope of the tangent line represents the heart rate in beats per minute. The monitor estimates this value by calculating the slope of a secant line. Use the data to estimate the patient's heart rate after 42 minutes using the secant line between the points with $t = 38$ and $t = 42$ .
$\begin{array} { | c | c | c | c | c | c | } \hline t \text { (mins) } & 36 & 38 & 40 & 42 & 44 \\\hline \text { Heartbeats } & 2570 & 2720 & 2840 & 3020 & 3070 \\\hline\end{array}$

A) 74
B) 80
C) 85
D) 70
E) 76
F) 75

Question 53

Question 54

Question 55

Question 56

Question 57

Question 58

Question 59

Question 60

Question 61

Question 62

Question 63

Question 64

Question 65

Question 66

Question 67

Question 68

Question 69

Question 70

Question 71

Question 72

Question 73

Question 74

Question 75

Question 76

Question 77

Question 78

Question 79

Question 80