Question

Need help please!!!

Answer 1

The function rule is: f(x)=x+4

Step-by-step explanation:

Following linear equation is used to find the function rule from tables

$y=mx+b$

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)

$So, \\for\ x\\-9-(-10) = -9+10=1\\For\ y\\-5-(-6)=-5+6=1$

So,

$m=1$

Putting in equation

$y=x+b$

To find the value of b, we will put any pair of x and f(x)=y in equation

$-6=-10+b\\b=-6+10\\b=4$

Putting the value of b

$y=x+4$

Replacing with the table names

$f(x)=x+4$

The function rule is: f(x)=x+4

Keywords: Functions, Rules

Learn more about functions at:

• brainly.com/question/9590016
• brainly.com/question/9607945

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