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3 years ago

The table represents a function.

Mathematics

1 answer:

Elenna [48]3 years ago

3 0

f(5) is -8 ⇒ 1st answer

Step-by-step explanation:

Function is a relation between set of of ordered pairs (x , y),and every x has only one y

Examples:

{(-1 , 2) , (2 , 4) , (5 , -3)} is a function because x = -1 has only y = 2, x = 2 has only y = 4 and x = 5 has only y = -3
{(-2 , 4) , (0 , -1) , (-2 , 5)} is not a function because x = -2 has y = 4 and 5

The notation of the function is f(x) = y

The table:

→ x : f(x)

→ -4 : -2

→ -1 : 5

→ 3 : 4

→ 5 : -8

From the table

∵ x = -4

- The corresponding value of y to x = -4 is -2

∴ f(-4) = -2

∵ x = -1

- The corresponding value of y to x = -1 is 5

∴ f(-1) = 5

∵ x = 3

- The corresponding value of y to x = 3 is 4

∴ f(3) = 4

∵ x = 5

- The corresponding value of y to x = 5 is -8

∴ f(5) =-8

f(5) is -8

Learn more:

You can learn more about the functions in brainly.com/question/10879401

#LearnwithBrainly

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Answer:

see attached graph

Step-by-step explanation:

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If $a > 0$ then the parabola opens upwards.

If $a < 0$ then the parabola opens downwards.

Therefore, the y-intercept of the graph is (0, 3)

To find the x-intercepts, factor the equation:

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$\implies y=x(x-1)-3(x-1)$

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To determine the vertex, differentiate the equation:

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3 years ago

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Answer:

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Step-by-step explanation:

Thinking process:

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Factorizing the expression in the parentheses gives:

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<h3>How to determine the transformation?</h3>

The transformation rule is given as:

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The r(90,0) represents a rotation of 90 degrees.

The other part of the transformation rule can be rewritten as:

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This means a translation right by 2 units and up by 4 units

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