The function rule is: f(x)=x+4
Step-by-step explanation:
Following linear equation is used to find the function rule from tables
[tex]y=mx+b[/tex]
Here
y is the output(f(x) and x is the input
Slope is calculated as:
m=ΔY/ΔX
ΔY is the difference between x values and Δy is the difference between y values (Output values)
[tex]So, \\for\ x\\-9-(-10) = -9+10=1\\For\ y\\-5-(-6)=-5+6=1[/tex]
So,
[tex]m=1[/tex]
Putting in equation
[tex]y=x+b[/tex]
To find the value of b, we will put any pair of x and f(x)=y in equation
[tex]-6=-10+b\\b=-6+10\\b=4[/tex]
Putting the value of b
[tex]y=x+4[/tex]
Replacing with the table names
[tex]f(x)=x+4[/tex]
The function rule is: f(x)=x+4
Keywords: Functions, Rules
Learn more about functions at:
- brainly.com/question/9590016
- brainly.com/question/9607945
#LearnwithBrainly
