- #1

Torshi

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**Determine the value of "a" for a given function.**

## Homework Statement

Consider the following function: f(x) { ax+7, x<2 and 4x-a, x≥2

A.) Determine the value of "a" such that lim x->2- (approaching from left) f(x) = 8. You mus demonstrate all limits.

## Homework Equations

ax+7, x<2 and 4x-a, x≥2

## The Attempt at a Solution

Approaching from left I got lim x->2- (2a+7) and from right lim x->2+ (8-a)

Am I trying to find a? If I set both limits equal I get a = .33, but the question asks determine the value of such that lim x->2- f(x) = 8 ? That would mean a =1/2 because 2* 1/2 = 1 + 7 = 8, but I don't think that's right unless I'm reading the question wrong..

Edit:

Or do I just state that ax+7 since for this question says lim x->2- (approaching) left

**f(x) = 8**do I say coming from the left is 8 while from the right it's still 8-a then set those two equal to calculate for "a"? Getting -1 as my answer for "a"?

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