How can you determine if a representation is a function or not ? Please answer this !!!!

1 answer:

6 0

If the representation is a graph then use the vertical line test. Draw or imagine straight vertical lines going down the graph. If the vertical line only goes through the function line one time then it is a function. For an example, a circle on a coordinate plane is not a function but a wavy line is.
If the representation is a table with points then look at the x values. If x repeats then it is not a function.

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In the function y = -5x2 + 5 , the graph will open down, be shifted up 5 units, and it will be wider than the parent function y

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We are considering the function $y=f(x)=-5 x^{2} +5$

the graph of this function is the graph of the parent function $y=g(x)= x^{2}$ after applying the following steps.

1. multiply by -1:

$-x^{2}$ is $x^{2}$ reflected with respect to the x-axis.

2. multiply by 5:

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for example, consider x=1/2

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$-x^{2}=- ( \frac{1}{2} )^{2}=- \frac{1}{4}=-0.25$

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3. add 5:

$-5 x^{2} +5$ is $-5 x^{2}$ shifted 5 units up.

4.

so the graph of the function a) opens down, b) is shifted 5 units up, c) is not wider than the parent function

Answer: False

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