Answer:
The answers are as follows for the functions.
f(1) = 12
f(3) = 22
f(5) = 32
Step-by-step explanation:
To find any of these, simply input the value in for x in the equation given.
f(1)
f(x) = 5x + 7
f(x) = 5(1) + 7
f(x) = 5 + 7
f(x) = 12
You can repeat this for each of them and it will allow you to use all of the numbers in the equations given.
Answer:
Option C is correct
[tex]f(1)-f(3) =f(3)-f(5)[/tex]
Step-by-step explanation:
Consider the function:
[tex]f(x) =5x+7[/tex]
At x = 1
[tex]f(1) =5(1)+7=5+7=12[/tex]
⇒f(1) = 12
At x = 3
[tex]f(3) =5(3)+7=15+7=22[/tex]
⇒f(3) = 22
At x = 5
[tex]f(5) =5( 5)+7=25+7=32[/tex]
⇒f(5) = 32
At x = -1
[tex]f(-1) =5(-1)+7=-5+7=2[/tex]
⇒f(-1) = 2
At x = -3
[tex]f(-3) =5(-3)+7=-15+7=-8[/tex]
⇒f(-3) = -8
A.
[tex]f(1)-f(3) =f(3)-f(1)[/tex]
⇒[tex]12-22 = 22-12[/tex]
⇒[tex]-10= 10[/tex]
Option A is incorrect.
B.
[tex]f(1)-f(3) =f(5)-f(3)[/tex]
⇒[tex]12-22 = 32-22[/tex]
⇒[tex]-10= 10[/tex]
Option B is incorrect.
C.
[tex]f(1)-f(3) =f(3)-f(5)[/tex]
⇒[tex]12-22 = 22-32[/tex]
⇒[tex]-10= -10[/tex]
Option C is Correct.
D.
[tex]f(1)-f(3) =f(-1)-f(-3)[/tex]
⇒[tex]12-22 = 2-(-8)[/tex]
⇒[tex]-10= 10[/tex]
Option D is incorrect.
