Q: Suppose you are modeling the height (in meters) of a ball thrown upward as a function of time (in seconds) with h(t)=-4.9t2+20t+1.5. What is the most appropriate domain for this function in a real-world context?

{t|0≤t≤T}, where T is when the ball hits the ground

Q: A function f is defined on [0,5). Which of the following statements is TRUE?

f is defined for all x such that 0≤x5

Question 1

Which of the following sets contains all real numbers x such that 1x6?

Accepted Answer

{x|1x6}

Question 2

Which of the following numbers is NOT a rational number?

Accepted Answer

2

Question 3

The function f(x)=2x+3 is an example of which type of function?

Accepted Answer

Linear function

Question 4

What is the domain of the function f(x)=x-4?

Accepted Answer

{x|x&ge;4}

Question 5

Suppose you are modeling the height (in meters) of a ball thrown upward as a function of time (in seconds) with h(t)=-4.9t2+20t+1.5. What is the most appropriate domain for this function in a real-world context?

Accepted Answer

{t|0&le;t&le;T}, where T is when the ball hits the ground

Question 6

Which of the following statements about the set of real numbers &#x211D; is TRUE?

Accepted Answer

The set of real numbers includes both rational and irrational numbers.

Question 7

Given the function f(x)=1x, what is its domain?

Accepted Answer

{x|x&ne;0}

Question 8

Which of the following is the correct interval notation for the set {x|2&le;x5}?

Accepted Answer

[2,5)

Question 9

A function f is defined by f(x)=3x-7. What is the value of f(4)?

Accepted Answer

5

Question 10

Which of the following best describes the range of the function f(x)=x2 for x&in;&#x211D;?

Accepted Answer

{y|y&ge;0}

Question 11

If f(x)=2x+1 and g(x)=x2, what is f(g(3))?

Accepted Answer

2&#xD7;32+1=19

Question 12

Which of the following is NOT a function?

Accepted Answer

The rule assigning to each x the value x (for all x)

Question 13

A function f is defined on [0,5). Which of the following statements is TRUE?

Accepted Answer

f is defined for all x such that 0&le;x5

Question 14

Which of the following best describes the vertical line test for functions?

Accepted Answer

A graph passes the vertical line test if every vertical line intersects the graph at most once.

Question 15

Which of the following is the correct set notation for the intersection of sets A and B?

Accepted Answer

A&cap;B

Question 16

If f(x)=5 for all x, what is the range of f?

Accepted Answer

{5}

Question 17

Which of the following is a correct description of the set {x|x&in;&#x211D;,x\u003e0}?

Accepted Answer

The set of all positive real numbers

MATH 221: First Semester Calculus – Numbers and Functions

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