All categories

2 years ago

Does this graph represent a function ? Why or why not ?

Mathematics

2 answers:

larisa86 [58]2 years ago

6 0

Answer:

The answer would be (B

Step-by-step explanation:

If you are insecure whether your relation is a function or not you can draw a vertical line right through your graph. If the relation is not a function the graph contains at least two points with the same x-coordinate but with different y-coordinates.

picture04

The relation portrayed in the graph to the left shows a function whereas the relation in the graph to the right is not a function since the vertical line is crossing the graph in two points.

balu736 [363]2 years ago

3 0

Answer:

D) It passes the horizontal line test

Step-by-step explanation:

In order for a line to represent a function it must pass the vertical line test.

To apply the horizontal line test, take a pencil and hold it vertically. Then, move it across the graph from left to right. If it intersects the line at 1 point everywhere along the line, then it is a function (functions can only have 1 Y value for every X value).

You might be interested in

Weight is a measure of force affected by gravity. The Moon’s gravity is less than Earth’s gravity, so objects weigh less on the

Step2247 [10]

9514 1404 393

Answer:

about 1.5 pounds

Step-by-step explanation:

The moon's gravity is about 1/6 that of Earth, so a 9-lb cat would weigh about 9/6 = 1.5 pounds on the moon.

8 0

2 years ago

The graph of the function f(x) = –(x + 6)(x + 2) is shown below.Which statement about the function is true?

LekaFEV [45]

Answer:

The first statement is true.

Step-by-step explanation:

The function is f(x) = - (x + 6)(x + 2)

⇒ f(x) = - x² - 8x - 12

Now, condition for a function f(x) to be increasing at x = a is f'(a) > 0.

Now, f(x) = - x² - 8x - 12

⇒ f'(x) = -2x - 8 {Differentiating with respect to x}

Now, f'(a) = -2a - 8 {Here a can be any real value}

And, the condition for increasing function at x = a is

- 2a - 8 > 0

⇒ - 2a > 8

⇒ a < - 4

Therefore, the first statement is true i.e. the function is increasing for all real values of x where x < – 4. (Answer)

4 0

2 years ago

Use the elimination method to solve the system of equations. Choose the

MatroZZZ [7]

Answer:

Step-by-step explanation:

7x + 3y = 30 (equation 1)

-2x + 3y = 3 (equation 2)

9x = 27 (subtract the two equations to eliminate y)

x = 3 (divide by 9)

7 * 3 + 3y = 30 (Substitute x = 3 into equation 1, it doesn't matter which equation you substitute into)

21 + 3y = 30 (7 * 3 = 21)

3y = 9 (Subtract 21)

y = 3 (divide by 3)

Answer is (3, 3)

6 0

2 years ago

Read 2 more answers

Find the distance between (3,-3) and (2,7)

yarga [219]

Answer:

$\sqrt{101} = D$

Step-by-step explanation:

Method #1

We can draw a <em>right triangle</em> on the graph upon where the points are located and use the Pythagorean Theorem:

${a}^{2} + {b}^{2} = {c}^{2}$

${1}^{2} + {10}^{2} = {c}^{2}$

$1 + 100 = {c}^{2}$

$101 = {c}^{2}$

$\sqrt{101} = c$

* Whenever we talk about distance, we ONLY want the NON-NEGATIVE root.

_______________________________________________

Method #2

Or, we can use the Distance Formula:

$\sqrt{[-x_1 + x_2]^{2} + [-y_1 + y_2]^{2}} = D$

[2, 7] [3, −3]

$\sqrt{[-3 + 2]^{2} + [3 + 7]^{2}} = D$

$\sqrt{[-1]^{2} + 10^{2}} = D$

$\sqrt{1 + 100} = D$

$\sqrt{101} = D$

** You see? It does not matter which method you choose, as long as you are doing the work correctly.

I am delighted to assist you anytime.

5 0

2 years ago

Evaluate the expression for the given values.

zmey [24]

Mx-ymx-y

m=5m=5
x=3x=3
y=8y=8
So... They all have to be 0 otherwise they are false so...

Hope this helps :)

8 0

2 years ago

Read 2 more answers