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11111nata11111 [884]
3 years ago
14

State the domain and range of the following function:

Mathematics
1 answer:
mojhsa [17]3 years ago
7 0

Answer:

Domain = \{-3,0,2,1,6,3\}

Range = \{4,6,-2,-3,-7,2\}

Step-by-step explanation:

Given

\{(- 3,4), (0,6), (2, - 2), (1, - 3), (6, - 7), (3, 2)\}

Required

The domain and range

A function is represented as:

Function = \{(x_1,y_1),(x_2,y_2),....(x_n,y_n)\}

Where

x \to domain

y \to range

So, we have:

Domain = \{-3,0,2,1,6,3\}

Range = \{4,6,-2,-3,-7,2\}

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Factors are (3x + 5) and (x - 2). Zeros are -5/3 and 2.

Step-by-step explanation:

  • Step 1: Given quadratic equation 3x² - x = 10 ⇒ 3x² - x - 10 = 0
  • Step 2: Use factoring method (product and sum rule) to find factors and zeros. So the equation can be written as below.

⇒ 3x² - 6x + 5x - 10 = 0

⇒ 3x(x - 2) + 5(x - 2) = 0

⇒ (3x + 5)(x - 2) = 0 These are the factors of the equation.

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⇒ 3x + 5 = 0 and x - 2 = 0

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4 years ago
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Step-by-step explanation:

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