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Reptile [31]
2 years ago
9

What graph represents a function?

Mathematics
1 answer:
vredina [299]2 years ago
4 0

Answer:

Bottom answer

Step-by-step explanation:

Although I cannot see the answer labels, the answer is the very bottom graph.  The way you can find a functional graph is if you add vertical lines going down and that there is only one point that crosses it, not two.  It is kind of difficult for me to explain, so if you need help, I suggest you look up how to know when a graph is a function or not.

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irga5000 [103]
We want to find a scalar function f(x,y) such that \nabla f(x,y)=\mathbf f(x,y)=\dfrac{\partial f}{\partial x}\,\mathbf i+\dfrac{\partial f}{\partial y}\,\mathbf j.
So we need to have
\dfrac{\partial f}{\partial x}=3+4xy^2
Integrating both sides with respect to x gives
f(x,y)=3x+2x^2y^2+g(y)
Differentiating with respect to y gives
\dfrac{\partial f}{\partial y}=4x^2y+\dfrac{\mathrm dg}{\mathrm dy}=4x^2y\implies\dfrac{\mathrm dg}{\mathrm dy}=0\implies g(y)=C
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3 years ago
1. For the function f(x) = x2, Find the slope of the secant line joining (1,f(1)) and
goblinko [34]

The slope of the line connecting two points (<em>a</em>, <em>b</em>) and (<em>c</em>, <em>d</em>) is

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i.e. the change in the <em>y</em>-coordinate divided by the change in the <em>x</em>-coordinate. For a function <em>y</em> = <em>f(x)</em>, this slope is the slope of the secant line connecting the two points (<em>a</em>, <em>f(a)</em> ) and (<em>c</em>, <em>f(c)</em> ), and has a value of

(<em>f(c)</em> - <em>f(a)</em> ) / (<em>c</em> - <em>a</em>)

Here, we have

<em>f(x)</em> = <em>x</em> ²

so that

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Then the slope of the secant line is

(1.0201 - 1) / (1.01 - 1) = 0.0201 / 0.01 = 2.01

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Answer:

1

Step-by-step explanation:

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1

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