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natali 33 [55]
3 years ago
11

40 POINTS FOR THIS (HELP)(Bad at algebra) - In two or more complete sentences, compare the number of x-intercepts in the graph o

f f(x) = x^2 to the number of x-intercepts in the graph of g(x) = x^2 -7. Be sure to include the transformations that occurred between the parent function f(x) and its image g(x).
Mathematics
1 answer:
DochEvi [55]3 years ago
4 0
Your second equation has 2 x-intercepts because its curve goes beneath the x-axis, meaning it crosses the x-axis twice. Your first equation has only one x intercept because its vertex touches the x-axis. The transformation that occurred was a vertical shift downwards, (since the image function has that little -7 at the end : )   )
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Aloiza [94]

The range of the given function is represented by  {-6,-4,2}.

<h3>Domain and Range</h3>

The domain of a function is the set of input values for which the function is real and defined. In the other words, when you define the domain, you are indicating for which values x the function is real and defined.

While the domain is related to the values ​​of x, the range is related to the possible values ​​of y that the function can have.

Here, you need to replace the given domain values in the equation: f(x)=x-4. The question gives that the domain is represented by: -2 ,0 ,2 .

Thus,

For x=-2, you have:

f(x)= x-4

f(x)= -2-4

f(x)= -6

For x=0, you have:

f(x)= 0-4

f(x)= 0-4

f(x)= -4

For x=2, you have:

f(x)= x-4

f(x)= 2-4

f(x)= -2

Therefore, the range of the given function is {-6,-4,2}

Learn more about the range here:

brainly.com/question/10197594

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