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3 years ago

Is (-1,6), (2,8), (3,6), (13,-4), (20.5,0) a function What’s the domain and range?

Mathematics

1 answer:

EleoNora [17]3 years ago

5 0

Yes it is a function.

The domains are -1, 2, 3, 13, 20.5

The ranges are 6, 8, 6, -4, 0

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What is the differnce between (-4)-6

EastWind [94]

Answer:

Step-by-step explanation:

(-4) -6? well it equals 24 because a negative plus a negative equals a positive.

Hope my answer has helped you! If not i'm sorry.

6 0

2 years ago

Write an equation (any form) for the quadratic graphed below. Y=

Licemer1 [7]

Answer:

y = -2x^2 - 4x - 1

Step-by-step explanation:

We can see that the graph passes through (-2, -1), (-1, 1) and (0, -1).

Let's solve

ax^2 + bx + c = y

a(-2)^2 + b(-2) + c = -1

4a - 2b + c = -1

a(-1)^2 + b(-1) + c = 1

a - b + c = 1

a0^2 + b0 + c = -1

c = -1

we got c = -1 so we input it into the other 2

4a - 2b - 1 = -1

4a - 2b = 0

2a - b = 0

2a = b

a - b - 1 = 1

a - b = 2

a = b + 2

Let's input b = 2a

a = 2a + 2

-a = 2

a = -2

b = 2a = 2*(-2) = -4

c = -1

y = -2x^2 - 4x - 1

4 0

3 years ago

Solve the radical equation.<br> sqrt 25 – 40x = X – 10

Citrus2011 [14]

-40x=-10-20

-40x=-35

x= 7/8

5 0

2 years ago

Given that (5,-8) is on the graph of f(x), find

My name is Ann [436]

Answer:

The corresponding point for the function f(x + 2) is (3 , -8)

Step-by-step explanation:

* Lets talk about the transformation

- If the function f(x) translated horizontally to the right by h units,

then the new function g(x) = f(x - h)

- If the function f(x) translated horizontally to the left by h units,

then the new function g(x) = f(x + h)

* Lets solve the problem

- There is a graph of f(x)

- Point (5 , -8) lies on the graph of f(x)

- The graph of f(x) change to f(x + 2)

∵ f(x) ⇒ f(x + 2)

∵ If the function f(x) translated horizontally to the left by h units,

then the new function g(x) = f(x + h)

∴ f(x) translated horizontally 2 units to the left

∴ Any point on the graph its x-coordinate translated 2 units

to the left

∴ The x-coordinate of any point on the graph is subtracted by 2

∵ Point (5 , -8) lies on the graph

∴ Its corresponding point is (5 - 2 , -8) = (3 , -8)

* The corresponding point for the function f(x + 2) is (3 , -8)

7 0

3 years ago

Which function has the following characteristics?

iren [92.7K]

Using the asymptote concept, the function with a vertical asymptote at x = 3 and an horizontal asymptote at $y = -\frac{1}{2}$ is given by:

$f(x) = -\frac{x}{2(x - 3)}$

<h3>What are the asymptotes of a function f(x)?</h3>

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.

The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

The vertical asymptote at x = 3 means that x = 3 is a root of the denominator, hence:

$f(x) = \frac{g(x)}{x - 3}$

The horizontal asymptote at y = -1/2 means that:

$\lim_{x \rightarrow \infty} f(x) = -\frac{1}{2}$

Which happens if $g(x) = -\frac{x}{2}$ , hence the function is:

$f(x) = -\frac{x}{2(x - 3)}$

More can be learned about asymptotes at brainly.com/question/16948935

#SPJ1

4 0

2 years ago