College

Match the inputs and outputs for the relation.

\[ f(x) = 7x - 3 \]

Match the lettered items with the correct numbered items.

**Lettered Items:**
a. 53
b. 18
c. -17
d. 46

**Numbered Items:**
1. \( f(-2) \)
2. \( f(3) \)
3. \( f(8) \)
4. \( f(7) \)

Answer :

Answer:

[tex]\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}}[/tex]

Step-by-step 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.

[tex]\sf f(-2) = 7\times -2 -3 = -14-3 = -17[/tex]

[tex]\hrulefill[/tex]

For 2nd no,

f left parenthesis 3 right parenthesis

Mathematically:

f(3)

Now substituting the value of x as 3.

[tex]\sf f(3) = 7\times 3 -3 = 21-3 =18[/tex]

[tex]\hrulefill[/tex]

For 3rd no,

f left parenthesis 8 right parenthesis

Mathematically:

f(8)

Now substituting the value of x as 8.

[tex]\sf \sf f(3) = 7\times 8 -3 = 56-3 =53[/tex]

[tex]\hrulefill[/tex]

For 4th no,

f left parenthesis 7 right parenthesis

Mathematically:

f(7)

Now substituting the value of x as 7.

[tex]\sf \sf f(3) = 7\times 7 -3 = 49-3 =46[/tex]

Final answer:

[tex]\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}}[/tex]

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

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