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pantera1 [17]
3 years ago
13

Find the slope of the function in the table

Mathematics
1 answer:
Alex17521 [72]3 years ago
6 0

Answer:

slope = -6

Step-by-step explanation:

slope formula: \frac{y2-y1}{x2-x1}

To find the slope, take two points from the table(in this example I'll use points (0,0) and (-2, 12)) and input them into the slope formula:

(0, 0) = (x1, y1)

(-2, 12) = (x2, y2)

\frac{12-0}{-2-0}

Simplify:

12 - 0 = 12

-2 - 0 = -2

\frac{12}{-2}=-\frac{6}{1}=-6

The slope of the function in the table is -6.

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Question: State whether each table of values represents a function​
Mashcka [7]

Answer:

Please check the explanation.

Step-by-step explanation:

  • As we know that the values in the table represent a function​ only if there there is only 1 input for every output.

Given the table 1

x              y

-12           2

-10           10

0              -2

5              -6

8               -11

15              -15

From the table, it is clear that for each input there exists a unique output.

i.e.

According to the given table,

y = 2 at x=-12

y = 10 at x=-1 0

y = -1 at x=0

y = -11 at x=8

y = -15 at x=15

From the table, it is clear that for each input x, it has a unique output y.

Hence, table 1 is a function.

Given the table 2

x              y

9            -18

-20           0

-6              1

-17              16

9                17

11              19

This table does not produce a function, because the input x=9 produces two outputs.

i.e.

at x = 9, the y = -18

at x = 9, the y = 17

Therefore, the table 2 does not represent a function.

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Hey there!

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= -3^2 - 5(-3) + 3

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= -9 + 15 + 3

= 6 + 3

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Answer: 9

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

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zloy xaker [14]
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