# Writing a function rule given a table of ordered pairs calculator

So we know that a is equal to 3. Example: Verify whether the numerical relationship shown in the table represents a function. This table describes y as a linear function of x. Hence the table represents a function.

In the above table each value of x is paired with exactly one value of y. So so far, we know that our g of x can be written as 3 times r to the x power.

### Function calculator with steps

It is possible to identify the relationship between the input and output values given in a tabular form as a commonly known function by observing the patterns in these values. We could write this as our change in our function over our change in x if you want to look at it that way. It could be 3 times r to the first power, or we could just write that as 3 times r. So now we can just use any one of the other values they gave us to solve for r. Updated April 25, By John Woloch Put strawberries into a blender and a smoothie comes out; put carrots into a blender and chopped carrots come out. You could write it that way if you want, any which way. Writing exponential functions Video transcript Consider the following table of values for a linear function f of x is equal to mx plus b and an exponential function g of x is equal to a times r to the x. And to figure out the equation of a line or a linear function right over here, you really just need two points. Simplify your equation by completing the multiplication in the parentheses using a calculator. So let's just write that down.

And let me just verify that that's what I did there. So we immediately know that this b right over here is equal to 5.

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