Mathematics, 04.08.2019 23:30 mstahuggoo6102

Are all lines function? explain. why does the vertical line test work? how can you determine whether a relation is a function when the relation is represented as a set of ordered pairs? how can you evaluate a function for a given value when the function is represented as a graph? answer all these questions in order from 1 to 4. this is not part of the question, just letting you know.

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1. Not all lines represent functions. A vertical line, for example, does not have a defined slope due to division by zero. Otherwise, all straight lines represent functions.

2. If a relationship shows two or more y-values for any given x-value, then that relationship is NOT a function. If you graph such a relationship and then draw a vertical line thru your graph, and see that the line intersects the graph more than once, you know your rel. is not a function.

3. Refer back to #1. If any one x-value is associated with more than one y-value, the relationship is NOT a function.

4. Draw a vertical line thru the input (x-) value at which you wish to evaluate the function. What is the y-value at the point of intersection of this line and the graph?

Answer from: dondre54

All lines are not functionsa function will not have any repeating x values. it can have repeating y values, just not the x ones.

To determine if ur line is a function, there is the vertical line test. if u run a vertical line through the line on the graph, if ur line on the graph touches the vertical line more then once, it is not a function.

if u get a set of ordered pairs, such as { (2,3),(3,4),(4,5),(6,7)}...to determine if this is a function just by looking at it, just look at ur x values. If all ur x values are different, then it is a functionso this one is a function.

But...{ (2.3), (2,4), (3,4), (4,5)}...this is not a function because it has 2 x values that are the sameu have two x values that are both 2.

example :lets say u have a line on ur graphand u get something like
h(-4)this is basically saying x = -4so u would look at ur graph and find the point where x is -4 and see what y equals.
I am not sure how to explain this oneso ur h(-4) would be equal to the y value of the (-4,y) point

Answer from: Quest

homozygous. one is homozygous, while two is heterozygous.

Answer from: Quest

option a is correct.

$\frac{\text{original height}}{\text{original base}}=\frac{\text{reduction height}}{\text{reduction base}}$

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

$\frac{\text{original height}}{\text{original base}}=\frac{\text{reduction height}}{\text{reduction base}}$

Which is the scale factor proportion for the reduction shown? answers are on picture.

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Are all lines function? explain. why does the vertical line test work? how can you determine whethe...

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