Find the tangent line to the graph of f(x)=x at point (0,0)
1 answer:
Given:
The function is
To find:
The tangent line to the graph of f(x)=x at point (0,0).
Solution:
We have,
It is a linear function because the highest power of the variable is 1.
We know that the tangent line to a linear function at any point is the line itself.
Derivative of given function is
So, slope of the tangent line is 1. It is given table the tangent line passes through the point (0,0). The equation of tangent line is
Therefore, the tangent line to the graph of f(x)=x at point (0,0) is y=x.
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Answer:
hey hope this helps
<h3 /><h3>Comparing sides AB and DE </h3>AB =
DE
So DE = 2 × AB
and since the new triangle formed is similar to the original one, their side ratio will be same for all sides.
<u>scale factor</u> = AB/DE
= 2
It's been reflected across the Y-axis
<em>moved thru the translation of 3 units towards the right of positive x- axis </em>
for this let's compare the location of points B and D
For both the y coordinate is same while the x coordinate of B is 0 and that of D is 3
so the triangle has been shifted by 3 units across the positive x axis