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klio [65]
3 years ago
8

The graph of a quadratic function with vertex (1,-3) is shown In the figure below . Find the domain and the range

Mathematics
1 answer:
forsale [732]3 years ago
6 0

Answer:

We can not see the graph, but that does not matter.

For a function y = f(x), the domain is the set of the possible values of x that we can input in the function, and the range is the set of the possible outputs.

First, for the domain, we start assuming that the domain is the set of all real numbers.

Then we look at our function, there is a point that causes a problem?

(a problem can be a zero in a denominator, for example)

Well, we have a quadratic equation, then we can not have any "x" in a denominator, then there are not problems, which means that the domain is the set of all real numbers.

For the range we first need to find the minimum (or maximum value) of f(x).

Here we know that the vertex is (1, - 3)

If the arms of the graph open upwards, then the minimum is at the vertex, which means that the minimum value of y is y = -3

And the arms go upwards infinitely, so there is no upper limit.

Then the range is the set of all numbers such that:

-3 ≤ y

Now, if the arms of the graph open downwards, then the maximum is at the vertex, which means that the maximum of our function is at y = -3

And with similar thinking than in the above case, we can find that the range is:

R:  y ≤ -3.

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Subtract - 2x - 10 from 10x2 + 3.
krok68 [10]

Answer:

10x2 + 2x + 13.

Step-by-step explanation:

10x2 + 3  - (-2x - 10)      (Note you have to put the -2x - 10 in brackets).

= 10x2 + 3 + 2x + 10      (Distributing the negative over the brackets).

= 10x2 + 2x + 13.

8 0
3 years ago
In a box and whisker plot, can the upper quartile also be the greatest value? Explain
Luda [366]

Answer:

No

Step-by-step explanation:

The upper Quartile is also known as the third quartile. And the greatest value is at the far right of the plot I placed an image below

3 0
3 years ago
Is this relation a function yes or no ?
andrew-mc [135]

Answer:

Yes

Step-by-step explanation:

None of the x's repeat

6 0
2 years ago
This is VERY URGENT, so 50 points if you answer correctly!
mariarad [96]

Answer:

The circumference is 31.43 cm

The ratio of the circumference to the diameter is equal to 3:1

Step-by-step explanation:

Thed formular for the circumference of a circle is 2\pir or \pid

where d = diameter and r = radius

if d = 10 cm, and \pi = 3.143, then circumference of the circle can be given as

3.143*10 = 31.43 cm

The ratio of the circumference to the diameter can be given as 31.43:10

and that can be given as 3.143:1

or 3:1, for the nearest whole number

3 0
3 years ago
A salesman travelled 2/5 of his journey before lunch and 3/8 of his journey after lunch.
AysviL [449]
2/5+3/8= 31/40 therefore he still has 9/40 to go.
to get this you multiply the two denominators together
5x8=40 which is your denominator
then you cross multiply the two numerators
2x8=16
3x5=15
to get the final
15/40+16/40=31/40
and you are left with 9/40
7 0
3 years ago
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