Question

Match the input and outputs for the relation.

s left parenthesis x right parenthesis equals space 7 x minus 3

The task is to match the lettered items with the correct numbered items. Appearing below is a list of lettered items. Following that is a list of numbered items. Each numbered item is followed by a drop-down. Select the letter in the drop down that best matches the numbered item with the lettered alternatives.
a.
53

b.
18

c.
-17

d.
46

1.
f left parenthesis negative 2 right parenthesis


a
2.
f left parenthesis 3 right parenthesis


a
3.
f left parenthesis 8 right parenthesis


a
4.
f left parenthesis 7 right parenthesis

Answer 1

1. f left parenthesis negative 2 right parenthesis - c. -17

2. f left parenthesis 3 right parenthesis - b. 18

3. f left parenthesis 8 right parenthesis - a. 53

4. f left parenthesis 7 right parenthesis - d. 46

Given :

• f(x) = 7x - 3

To find :

• f(-2)
• f(3)
• f(8)
• f(7)

Solution:

when f(-2)

• f(-2) = (7*-2) - 3
• f(-2) = -14 -3
• f(-2) = -17

when f(3)

• f(3) = 7*3 - 3
• f(3) = 21 -3
• f(3) = 18

when f(8)

• f(8) = 7*8 -3
• f(8) = 56 -3
• f(8) = 53

when f(7)

• f(7) = 7*7 - 3
• f(7) = 49 - 3
• f(7) = 46

Answer 2

`\boxed{\begin{aligned} &\sf 1. f(-2) \longrightarrow c. -17\\& \sf 2. f(3) \longrightarrow b. 18 \\&\sf 3. f(8) \longrightarrow a. 53\\&\sf 4. f(7) \longrightarrow d. 46\\ \end{aligned}}`

Explanation:

Given:

Input: left parenthesis x right parenthesis equals space 7 x minus 3

Mathematically:

Input: f(x) = 7x - 3

To find:

Output for the relation:

Solution:

We can find the output by substituting the value of the function which we need.

For 1st no,

f left parenthesis negative 2 right parenthesis

Mathematically:

f(-2)

Now substituting the value of x as -2.

`\sf f(-2) = 7* -2 -3 = -14-3 = -17`

`\hrulefill`

For 2nd no,

f left parenthesis 3 right parenthesis

Mathematically:

f(3)

Now substituting the value of x as 3.

`\sf f(3) = 7* 3 -3 = 21-3 =18`

`\hrulefill`

For 3rd no,

f left parenthesis 8 right parenthesis

Mathematically:

f(8)

Now substituting the value of x as 8.

`\sf \sf f(3) = 7* 8 -3 = 56-3 =53`

`\hrulefill`

For 4th no,

f left parenthesis 7 right parenthesis

Mathematically:

f(7)

Now substituting the value of x as 7.

`\sf \sf f(3) = 7* 7 -3 = 49-3 =46`

Final answer:

`\boxed{\begin{aligned} &\sf 1. f(-2) \longrightarrow c. -17\\& \sf 2. f(3) \longrightarrow b. 18 \\&\sf 3. f(8) \longrightarrow a. 53\\&\sf 4. f(7) \longrightarrow d. 46\\ \end{aligned}}`