Mathematics: Find the domain and range of the function below. y = 3x2 - 6x + 5 a. d: all real numbers r : (22) d: all real numbers r: ( 32) c. d: ( x2) r: all real numbers d: all real numbers r: all real numbers

35 degrees42 degrees x = 8 degreesx = 7 degreesStep-by-step explanation:1) m 1 = 70/2 = 35 degrees2)m 1 = 84/2 = 42 degrees3)6 + 4 x = (9 x + 4) / 2 12 + 8 x = 9 x + 412 - 4 = xx = 8 degrees4)3 x - 1 = x + 132 x = 14x = 7 degrees...

Find the domain and range of the function below.

Ответ:

willveloz4

10.03.2022

Mathematics

ANSWER

Domain: All real numbers

Range:

$[2, \infty )$

EXPLANATION

The given function is

$y = 3 {x}^{2} - 6x + 5$

To find the domain and range of the given function, we complete the square.

$y = 3 ({x}^{2} - 2x )+ 5$

$y = 3 ({x}^{2} - 2x + 1) + 3( - 1)+ 5$

$y = 3 ({x - 1)}^{2} - 3+ 5$

$y = 3 ({x - 1)}^{2} + 2$

The vertex is at (1,2).

The given function is a polynomial and all polynomial functions are defined everywhere.

The domain is all real numbers.

The parabola opens upwards and have vertex at (1,2). Hence the minimum y-value is 2.

The range is

$[2, \infty )$

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Ответ:

Likat1006

14.01.2021

Mathematics

35 degrees

42 degrees

x = 8 degrees

x = 7 degrees

Step-by-step explanation:

m <1 = 70/2 = 35 degrees

m <1 = 84/2 = 42 degrees

6 + 4 x = (9 x + 4) / 2

12 + 8 x = 9 x + 4

12 - 4 = x

x = 8 degrees

3 x - 1 = x + 13

2 x = 14

x = 7 degrees

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Find the domain and range of the function below. y = 3x2 - 6x + 5 a. d: all real numbers r : (22) d: all real numbers r: ( 32) c. d: ( x2) r: all real numbers d: all real numbers r: all real numbers

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