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nikitadnepr [17]
3 years ago
13

Which of the following graphs represents a function with a domain of (-∞, ∞) and a range of (-∞, ∞)?

Mathematics
2 answers:
umka21 [38]3 years ago
6 0
The negative infinity for the x coordinate states that the graph should move to the bottom and the y coordinate is positive infinity so that the graph goes up

the first graph is your answer
alex41 [277]3 years ago
6 0

Answer:

option A

Step-by-step explanation:

Domain is the set  of all x values and range the set of all y values where the function is defined.

In the first option we have graph on both  sides of x. we have graph y for all x values . So, domain is (-∞, ∞)

There is no restriction for y. the graph is for all y values

So range is (-∞, ∞)

In the second option, the graph is above y axis so range is [0,∞)

In the third option, we have graph only for positive value of x

so domain is [0,, ∞)

In the fourth option , the graph is above y axis so range is [0,∞)

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Identify the vertex, complete the table, and graph h(x) = (x + 1) + 4.
anygoal [31]

Answer:

The vertex is (-1, 4)

Not sure what the table looks like, but just plug the x values into the equation to get a complete point

Graph the points on a graph

Step-by-step explanation:

3 0
2 years ago
Approximate the area between the xxx-axis and h(x) = \dfrac{1}{7-x}h(x)= 7−x 1 ​ h, (, x, ), equals, start fraction, 1, divided
tiny-mole [99]

Answer:

\dfrac{47}{60} sq. units.

Step-by-step explanation:

The given function is

h(x)=\dfrac{1}{7-x}

We need to find the area between x-axis and the given function from x=2 to x=5.

Left Riemann sum formula of area:

Area=\sum_{n=0}^{N-1}f(x_n)(\Delta x_n)

For given question,

Area=\sum_{n=2}^{5-1}f(x_n)(\Delta x_n)

Area=\sum_{n=2}^{4}f(x_n)(\Delta x_n)

Area=f(x_2)(3-2)+f(x_3)(4-3)+f(x_4)(5-4)

Now,

Area=\dfrac{1}{7-2}\times (1)+\dfrac{1}{7-3}\times (1)+\dfrac{1}{7-4}\times (1)

Area=\dfrac{1}{5}+\dfrac{1}{4}+\dfrac{1}{3}

Area=\dfrac{12+15+20}{60}

Area=\dfrac{47}{60}

Therefore, the required area is \dfrac{47}{60} sq. units.

5 0
3 years ago
The diagram shows a triangle.<br><br> What is the value of w?
marshall27 [118]

Answer:

63-degrees

Step-by-step explanation:

triangle = 180 degrees

46 + 71 + w = 180

117 + w = 180 *subtract 117 from both sides*

w = 63

5 0
3 years ago
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Dennis_Churaev [7]
B and d are equivalent
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2 years ago
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Answer:

1115555

Step-by-step explanation:

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3 years ago
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