Question 1

Is the set a function?
​  ​
Answer yes or no.

Accepted Answer

no

Question 2

Find the difference quotient,  for the function given below.
​

Accepted Answer

​

Question 3

Let P(x) be the number of prime numbers less than x. Find ​P​​(14).
​
​P​(14) = __________

Accepted Answer

6

Question 4

Find the difference quotient,  for the given function.​  ​  __________

Accepted Answer

The answer of Find the difference quotient,  for the...

Question 5

If  , find ​h​(3.8). ​
A) 
B) ​ 
C) ​ 
D) ​ 
E) ​

Accepted Answer

The given function is a hexadecimal function where each digit ranges from 0-9 and a-f.
To find h(3.8), we need to convert 3.8 to hexadecimal.

3 in hexadecimal = 3
0.8 in hexadecimal = CCCCCC (repeating)

Therefore, 3.8 in hexadecimal = 3.CCCCCC

Now, we substitute this value into the given function:

11eac9cf_f890_be55_a07b_83db200f25bb_TB7816_11

= 11eac9cf_f890_be55_a07b_83db200f25bb_TB7816_11(base 16)

= h(3.CCCCCC)

= 11eac9cf_f890_be55_a07b_83db200f25bb(base 16)

Therefore, the answer is D.

Question 6

It is estimated that t years from now, the population of a certain suburban community will be ​  ​
Thousand people. What will the population of the community be 7 years from now?
​
A) 
B) ​ 
C) ​ 
D) ​ 
E) ​

Accepted Answer

To find the population 7 years from now, we need to add 7 to the current time, so t=7. Then we can plug in t=7 into the given population model:
Population = 11eac9cf_f893_5679_a07b_0b999f5239fd_TB7816_11 = 11e^(0.042(7)) = 11e^0.294
Rounding to the nearest thousandth, we get a population of approximately 14.15 thousand people. Written in scientific notation, this is 11eac9cf_f893_a49b_a07b_fd262310f8ad_TB7816_11. Therefore, the best choice is B).

Question 7

If  , find ​h​(3.5). Round to two decimal places.
​  __________

Accepted Answer

The answer of If  , find ​h​(3.5). Round to...

Question 8

Is the set a function? ​  ​
A) function
B) not a function

Accepted Answer

The set given is not a function because it is not possible to determine a unique output for each input. The elements in the set could potentially have multiple outputs.

Question 9

Use the vertical line test to determine whether the curve is a function. ​
​  ​
A) not a function
B) function

Accepted Answer

The vertical line test is a method of determining whether a curve is a function or not. If a vertical line can intersect the curve in more than one point, then the curve is not a function. In the given curve, a vertical line can intersect it in multiple points, which indicates that it is not a function. Therefore, the correct choice is A) not a function.

Question 10

For the given verbal description, write a rule in the form of an equation. ​
For each number x in the domain, the corresponding range value y is found by multiplying by 2 and then subtracting 7.
​
A) 
B) ​ 
C) ​ 
D) ​ 
E) ​

Accepted Answer

The equation would be y = 2x - 7, since the verbal description states that the range value is found by multiplying by 2 and then subtracting 7. Option B matches this equation.

Question 11

Find the difference quotient,  for the given function. ​  ​
A) 
B) ​ 
C) ​ 
D) ​ 
E) ​

Accepted Answer

The answer of Find the difference quotient,  for the...

Question 12

It is estimated that t years from now, the population of a certain suburban community will be
​  ​
thousand people. What will the population of the community be 5 years from now?
​  __________ people

Accepted Answer

The answer of It is estimated that t years from...

Question 13

For the given verbal description, write a rule in the form of an equation.
​
For each number x in the domain, the corresponding range value y is found by multiplying by 5 and then subtracting 4.

Accepted Answer

The answer of For the given verbal description, write a...

Question 14

Sketch the parabola that has a distance between the directrix and its focus to be 4 units. ​
A) ​ 
B) 
C)  ​
D) ​

Accepted Answer

The answer of Sketch the parabola that has a distance...

Question 15

Let P(x) be the number of prime numbers less than x. Find ​P​(18). ​
A) 
B) ​ 
C) ​ 
D) ​ 
E) ​

Accepted Answer

The answer of Let P(x) be the number of prime...

Question 16

Find the difference quotient,  for the function given below. ​  ​
A) 
B) ​ 
C) ​ 
D) ​ 
E) ​

Accepted Answer

The answer of Find the difference quotient,  for the...

Question 17

Use the vertical line test to determine whether the curve is a function.
​  ​
The curve is __________ (a function, not a function).

Accepted Answer

The answer of Use the vertical line test to determine...

Question 18

Is the set of ordered pairs a function? ​  ​
A) function
B) not a function

Accepted Answer

The answer of Is the set of ordered pairs a...

Question 19

If  , list conditions on the constants to assure that the graph of a line results. ​
A) A and C have same signs
B) A = 0 and C = 0
C) A > C
D) A and C have opposite signs
E) A = C

Accepted Answer

The answer of If  , list conditions on the...

Question 20

Is the set of ordered pairs a function?
​  ​
Answer yes or no.

Accepted Answer

The answer of Is the set of ordered pairs a...

Quiz 15: The Nature of Graphs and Functions

Is the set a function? Answer yes or no.

Find the difference quotient, for the function given below.

Let P(x) be the number of prime numbers less than x. Find P(14). P(14) = __________

Find the difference quotient, for the given function. __________

If , find h(3.8) .

It is estimated that t years from now, the population of a certain suburban community will be Thousand people. What will the population of the community be 7 years from now?

If , find h(3.5). Round to two decimal places. __________

Is the set a function?

Use the vertical line test to determine whether the curve is a function.

For the given verbal description, write a rule in the form of an equation. For each number x in the domain, the corresponding range value y is found by multiplying by 2 and then subtracting 7.

Find the difference quotient, for the given function.

It is estimated that t years from now, the population of a certain suburban community will be thousand people. What will the population of the community be 5 years from now? __________ people

For the given verbal description, write a rule in the form of an equation. For each number x in the domain, the corresponding range value y is found by multiplying by 5 and then subtracting 4.

Sketch the parabola that has a distance between the directrix and its focus to be 4 units.

Let P(x) be the number of prime numbers less than x. Find P(18) .

Find the difference quotient, for the function given below.

Use the vertical line test to determine whether the curve is a function. The curve is __________ (a function, not a function).

Is the set of ordered pairs a function?

If , list conditions on the constants to assure that the graph of a line results.

Is the set of ordered pairs a function? Answer yes or no.

Quiz 15: The Nature of Graphs and Functions

Is the set a function? ​ ​ Answer yes or no.

Find the difference quotient, for the function given below. ​

Let P(x) be the number of prime numbers less than x. Find ​P​​(14). ​ ​P​(14) = __________

Find the difference quotient, for the given function.​ ​ __________

If , find ​h​(3.8) . ​

It is estimated that t years from now, the population of a certain suburban community will be ​ ​ Thousand people. What will the population of the community be 7 years from now? ​

If , find ​h​(3.5). Round to two decimal places. ​ __________

Is the set a function? ​ ​

Use the vertical line test to determine whether the curve is a function. ​ ​ ​

For the given verbal description, write a rule in the form of an equation. ​ For each number x in the domain, the corresponding range value y is found by multiplying by 2 and then subtracting 7. ​

Find the difference quotient, for the given function. ​ ​

It is estimated that t years from now, the population of a certain suburban community will be ​ ​ thousand people. What will the population of the community be 5 years from now? ​ __________ people

For the given verbal description, write a rule in the form of an equation. ​ For each number x in the domain, the corresponding range value y is found by multiplying by 5 and then subtracting 4.

Sketch the parabola that has a distance between the directrix and its focus to be 4 units. ​

Let P(x) be the number of prime numbers less than x. Find ​P​(18) . ​

Find the difference quotient, for the function given below. ​ ​

Use the vertical line test to determine whether the curve is a function. ​ ​ The curve is __________ (a function, not a function).

Is the set of ordered pairs a function? ​ ​

If , list conditions on the constants to assure that the graph of a line results. ​

Is the set of ordered pairs a function? ​ ​ Answer yes or no.

Is the set a function? Answer yes or no.

Find the difference quotient, for the function given below.

Let P(x) be the number of prime numbers less than x. Find P(14). P(14) = __________

Find the difference quotient, for the given function. __________

If , find h(3.8) .

It is estimated that t years from now, the population of a certain suburban community will be Thousand people. What will the population of the community be 7 years from now?

If , find h(3.5). Round to two decimal places. __________

Is the set a function?

Use the vertical line test to determine whether the curve is a function.

For the given verbal description, write a rule in the form of an equation. For each number x in the domain, the corresponding range value y is found by multiplying by 2 and then subtracting 7.

Find the difference quotient, for the given function.

It is estimated that t years from now, the population of a certain suburban community will be thousand people. What will the population of the community be 5 years from now? __________ people

For the given verbal description, write a rule in the form of an equation. For each number x in the domain, the corresponding range value y is found by multiplying by 5 and then subtracting 4.

Sketch the parabola that has a distance between the directrix and its focus to be 4 units.

Let P(x) be the number of prime numbers less than x. Find P(18) .

Find the difference quotient, for the function given below.

Use the vertical line test to determine whether the curve is a function. The curve is __________ (a function, not a function).

Is the set of ordered pairs a function?

If , list conditions on the constants to assure that the graph of a line results.

Is the set of ordered pairs a function? Answer yes or no.