Question
page 13 of 13
Question 1
A)
Joanne drives a tour bus in Hollywood that can hold up to 10 passengers. She charges each passenger $15 dollars to ride. What is a reasonable domain for this scenario (see graph)?
(1 point)
Responses
A. {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
{
0
,
1
,
2
,
3
,
4
,
5
,
6
,
7
,
8
,
9
,
10
}
A. {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
{
0
,
1
,
2
,
3
,
4
,
5
,
6
,
7
,
8
,
9
,
10
}
B. {15, 30, 45, 60, 75, 90, 105, 120, 135, 150}
{
15
,
30
,
45
,
60
,
75
,
90
,
105
,
120
,
135
,
150
}
B. {15, 30, 45, 60, 75, 90, 105, 120, 135, 150}
{
15
,
30
,
45
,
60
,
75
,
90
,
105
,
120
,
135
,
150
}
C. 0≤x≤10
0
≤
x
≤
10
C. 0≤x≤10
0
≤
x
≤
10
D. {1, 15, 2, 30, 45, 60, 5, 75, 90, 105}
{
1
,
15
,
2
,
30
,
45
,
60
,
5
,
75
,
90
,
105
}
D. {1, 15, 2, 30, 45, 60, 5, 75, 90, 105}
{
1
,
15
,
2
,
30
,
45
,
60
,
5
,
75
,
90
,
105
}
Question 2
A)
Look at the relation in the graph. Which choice best represents the range?
(1 point)
Responses
A. {−2, 0, 1, 5}
{
−
2
,
0
,
1
,
5
}
A. {−2, 0, 1, 5}
{
−
2
,
0
,
1
,
5
}
B. {−2, 3, 4, 5}
{
−
2
,
3
,
4
,
5
}
B. {−2, 3, 4, 5}
{
−
2
,
3
,
4
,
5
}
C. {0, 1, 4, 5}
{
0
,
1
,
4
,
5
}
C. {0, 1, 4, 5}
{
0
,
1
,
4
,
5
}
D. {−3, 0, 4, 5}
{
−
3
,
0
,
4
,
5
}
D. {−3, 0, 4, 5}
{
−
3
,
0
,
4
,
5
}
Question 3
A)What is the range of the function f(x) =5x2−20x+12
f
(
x
)
=
5
x
2
−
20
x
+
12
? (Hint: Graph the function in your calculator).(1 point)
f(x)≥
f
(
x
)
≥
$$
Question 4
A)
A golfer hit a golf ball from a tee box that is 6 yards above the ground. The graph shows the height in yards of the golf ball above the ground as a quadratic function of x
x
, the horizontal distance in yards of the golf ball from the tee box. What is the domain of the function for this situation?
(1 point)
Responses
A. 0≤x≤230
0
≤
x
≤
230
A. 0≤x≤230
0
≤
x
≤
230
B. 6≤y≤36
6
≤
y
≤
36
B. 6≤y≤36
6
≤
y
≤
36
C. 0≤y≤36
0
≤
y
≤
36
C. 0≤y≤36
0
≤
y
≤
36
D. 6≤x≤230
6
≤
x
≤
230
D. 6≤x≤230
6
≤
x
≤
230
Question 5
A)
A part of exponential function f
f
is graphed on the grid. Which inequality best represents the range of the part shown?
(1 point)
Responses
A. x>3
x
>
3
A. x is greater than 3
B. y>3
y
>
3
B. y is greater than 3
C. x>−4
x
>
−
4
C. x is greater than negative 4
D. y>−4
y
>
−
4
D. y is greater than negative 4
Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.
Question 1
A)
Joanne drives a tour bus in Hollywood that can hold up to 10 passengers. She charges each passenger $15 dollars to ride. What is a reasonable domain for this scenario (see graph)?
(1 point)
Responses
A. {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
{
0
,
1
,
2
,
3
,
4
,
5
,
6
,
7
,
8
,
9
,
10
}
A. {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
{
0
,
1
,
2
,
3
,
4
,
5
,
6
,
7
,
8
,
9
,
10
}
B. {15, 30, 45, 60, 75, 90, 105, 120, 135, 150}
{
15
,
30
,
45
,
60
,
75
,
90
,
105
,
120
,
135
,
150
}
B. {15, 30, 45, 60, 75, 90, 105, 120, 135, 150}
{
15
,
30
,
45
,
60
,
75
,
90
,
105
,
120
,
135
,
150
}
C. 0≤x≤10
0
≤
x
≤
10
C. 0≤x≤10
0
≤
x
≤
10
D. {1, 15, 2, 30, 45, 60, 5, 75, 90, 105}
{
1
,
15
,
2
,
30
,
45
,
60
,
5
,
75
,
90
,
105
}
D. {1, 15, 2, 30, 45, 60, 5, 75, 90, 105}
{
1
,
15
,
2
,
30
,
45
,
60
,
5
,
75
,
90
,
105
}
Question 2
A)
Look at the relation in the graph. Which choice best represents the range?
(1 point)
Responses
A. {−2, 0, 1, 5}
{
−
2
,
0
,
1
,
5
}
A. {−2, 0, 1, 5}
{
−
2
,
0
,
1
,
5
}
B. {−2, 3, 4, 5}
{
−
2
,
3
,
4
,
5
}
B. {−2, 3, 4, 5}
{
−
2
,
3
,
4
,
5
}
C. {0, 1, 4, 5}
{
0
,
1
,
4
,
5
}
C. {0, 1, 4, 5}
{
0
,
1
,
4
,
5
}
D. {−3, 0, 4, 5}
{
−
3
,
0
,
4
,
5
}
D. {−3, 0, 4, 5}
{
−
3
,
0
,
4
,
5
}
Question 3
A)What is the range of the function f(x) =5x2−20x+12
f
(
x
)
=
5
x
2
−
20
x
+
12
? (Hint: Graph the function in your calculator).(1 point)
f(x)≥
f
(
x
)
≥
$$
Question 4
A)
A golfer hit a golf ball from a tee box that is 6 yards above the ground. The graph shows the height in yards of the golf ball above the ground as a quadratic function of x
x
, the horizontal distance in yards of the golf ball from the tee box. What is the domain of the function for this situation?
(1 point)
Responses
A. 0≤x≤230
0
≤
x
≤
230
A. 0≤x≤230
0
≤
x
≤
230
B. 6≤y≤36
6
≤
y
≤
36
B. 6≤y≤36
6
≤
y
≤
36
C. 0≤y≤36
0
≤
y
≤
36
C. 0≤y≤36
0
≤
y
≤
36
D. 6≤x≤230
6
≤
x
≤
230
D. 6≤x≤230
6
≤
x
≤
230
Question 5
A)
A part of exponential function f
f
is graphed on the grid. Which inequality best represents the range of the part shown?
(1 point)
Responses
A. x>3
x
>
3
A. x is greater than 3
B. y>3
y
>
3
B. y is greater than 3
C. x>−4
x
>
−
4
C. x is greater than negative 4
D. y>−4
y
>
−
4
D. y is greater than negative 4
Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.
Answers
GPT-4o mini
Here are the answers to your questions:
**Question 1**:
**A)** A reasonable domain for the number of passengers on the bus is
- **Response: A. {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}**
This set represents all possible whole numbers of passengers that Joanne can accommodate with her bus.
---
**Question 2**:
**A)** To identify the best representation of the range from the graph, you would select:
- **Response: A. {−2, 0, 1, 5}**
This set includes specified output values of the relation based on the given options.
---
**Question 3**:
**A)** To find the range of the function \( f(x) = 5x^2 - 20x + 12 \), first, we can rewrite it in vertex form or find the vertex of the parabola since it's a quadratic function. The vertex will give the minimum or maximum value of the function.
- After doing that, you could state the range as:
- **Response: \( f(x) \geq k \)**, where \( k \) is the minimum value found from the vertex.
---
**Question 4**:
**A)** Since the golfer hits a golf ball that starts from a height of 6 yards, the domain (horizontal distance) for the golf ball can be given in terms of distance:
- **Response: A. 0≤x≤230**
This indicates the horizontal distance the ball could travel.
---
**Question 5**:
**A)** For the exponential function shown in the graph, the best inequality representing the range can be:
- **Response: D. y > -4**
This suggests that the output values (heights) of the function are greater than -4.
---
Let me know if you need further clarification or additional questions!
**Question 1**:
**A)** A reasonable domain for the number of passengers on the bus is
- **Response: A. {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}**
This set represents all possible whole numbers of passengers that Joanne can accommodate with her bus.
---
**Question 2**:
**A)** To identify the best representation of the range from the graph, you would select:
- **Response: A. {−2, 0, 1, 5}**
This set includes specified output values of the relation based on the given options.
---
**Question 3**:
**A)** To find the range of the function \( f(x) = 5x^2 - 20x + 12 \), first, we can rewrite it in vertex form or find the vertex of the parabola since it's a quadratic function. The vertex will give the minimum or maximum value of the function.
- After doing that, you could state the range as:
- **Response: \( f(x) \geq k \)**, where \( k \) is the minimum value found from the vertex.
---
**Question 4**:
**A)** Since the golfer hits a golf ball that starts from a height of 6 yards, the domain (horizontal distance) for the golf ball can be given in terms of distance:
- **Response: A. 0≤x≤230**
This indicates the horizontal distance the ball could travel.
---
**Question 5**:
**A)** For the exponential function shown in the graph, the best inequality representing the range can be:
- **Response: D. y > -4**
This suggests that the output values (heights) of the function are greater than -4.
---
Let me know if you need further clarification or additional questions!