Question

1.
(03.01 LC)
Which of the following sets represents the domain of the function shown? (5 points)

{(2, 3), (4, 7), (5, 9), (11, 6)}

{2, 4, 5, 11}
{3, 7, 6, 9}
{(3, 2), (7, 4), (9, 5), (6, 11)}
{2, 3, 4, 5, 6, 7, 11}
2.
(03.02 MC)
The function f(x) = 4.50x + 19 relates how much Sean pays to his scout club, f(x), to the number of patches, x, he earns in a month. What is the value and meaning of f(12)? (5 points)

$73.00; this is the amount Sean pays for earning 12 patches in a month.
$73.00; this is the amount Sean pays for 12 months of scout club.
$85.50; this is the amount Sean pays for earning 12 patches in a month.
$85.50; this is the amount Sean pays for 12 months of scout club.
3.
(03.03 MC)
Find the ordered pairs for the x- and y-intercepts of the equation 5x − 6y = 30 and select the appropriate option below. (5 points)

The x-intercept is (6, 0), the y-intercept is (0, –5).
The x-intercept is (0, 6); the y-intercept is (–5, 0).
The x-intercept is (5, 0); the y-intercept is (0, –6).
The x-intercept is (0, 5); the y-intercept is (–6, 0).
4.
(03.03 HC)
The table shows the outputs, y, for different inputs, x:

Input (x) 1 2 3 4
Output (y) 5 5 7 9

Part A: Do the data in this table represent a function? Justify your answer. (3 points)

Part B: Compare the data in the table with the relation f(x) = 2x − 8. Which relation has a greater value when x = 4? (2 points)

Part C: Using the relation in Part B, what is the value of x if f(x) = 34? (5 points)

(10 points)

Answer 1

Given : {(2, 3), (4, 7), (5, 9), (11, 6)}

To find : Which of the following sets represents the domain of the function shown

{2, 4, 5, 11}

{3, 7, 6, 9}

{(3, 2), (7, 4), (9, 5), (6, 11)}

{2, 3, 4, 5, 6, 7, 11}

Solution:

Set is represented in form (x , y)

where x is the input

& y is the output

Value of x combined together form domain of the function

& Values of y combined together form Range of the function

{(2, 3), (4, 7), (5, 9), (11, 6)}

x  = 2  , 4 , 5  , 11

y = 3 , 7 , 9 , 6

Domain = { 2  , 4 , 5 , 11 }

Range = { 3 , 7 , 9 , 6 }

From the given option

{ 2  , 4 , 5 , 11 }  represents the domain of the function

Please post Questions one by one

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Answer 2

Answer:

Step-by-step explanation:

, (6, 11)}

{2, 3, 4, 5, 6, 7, 11}

2.

(03.02 MC)

The function f(x) = 4.50x + 19 relates how much Sean pays to his scout club, f(x), to the number of patches, x, he earns in a month. What is the value and meaning of f(12)? (5 points)

$73.00; this is the amount Sean pays for earning 12 patches in a month.

$73.00; this is the amount Sean pays for 12 months of scout club.

$85.50; this is the amount Sean pays for earning 12 patches in a month.

$85.50; this is the amount Sean pays for 12 months of scout club.

3.

(03.03 MC)

Find the ordered pairs for the x- and y-intercepts of the equation 5x − 6y = 30 and select the appropriate option below. (5 points)

The x-intercept is (6, 0), the y-intercept is (0, –5).

The x-intercept is (0, 6); the y-intercept is (–5, 0).

The x-intercept is (5, 0); the y-intercept is (0, –6).

The x-intercept is (0, 5); the y-intercept is (–6, 0).

4.

(03.03 HC)

The table shows the outputs, y, for different inputs, x:

Input (x) 1 2 3 4

Output (y) 5 5 7 9

Part A: Do the data in this table represent a function? Justify your answer. (3 points)

Part B: Compare the data in the table with the relation f(x) = 2x − 8. Which relation has a greater value when x = 4? (2 points)

Part C: Using the relation in Part B, what is the value of x if f(x) = 34? (5 points)

(10 points)