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# Finding the Equation of a Function Given The Slope of A Tangent Line

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Hi! I made this account two minutes ago because if I tank this miderm I'll die. The gist of it is this: I've got two problems where I'm given the slope of a a line tangent to a function and its location on the x-axis, and from there I'm meant to somehow find the original function the line itself tangent to. I've looked at this from every angle I can (keep in mind that this is not that many angles, I am not very smart), and either I'm reading the question wrong or I'm being given an impossible task. Here's the verbatim text:

Consider a function f. The line L1 with equation y =3x+1 is a tangent to the graph of f when x=2. Find f(2).

Sep 30, 2020

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Using the tangent line, f(2) = 1/2.

Sep 30, 2020
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I FIGURED IT OUT. Turns out I misread the question; it's basically just asking for me to plug in 2 for the tangent equation so that I have multiple points to write a coherent equation with down the line. :|

Sep 30, 2020