1. consider the absolute value function shown in the graph. (a) write the equation of the function. use function notation. (b) what are the domain and range of the function?

1. consider the absolute value function shown in the graph. (a) write the equation of the function.

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Ответ:

chem64

15.09.2020

Mathematics

The required solution is $x=2,-\dfrac{1}{3}.$

Step-by-step explanation: We are given to solve the following quadratic equation :

3x^2-5x-2=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

To solve the given equation, we will use the method of factorization.

The solution of equation (i) is as follows :

$3x^2-5x-2=0\\\\\Rightarrow 3x^2-6x+x-2=0\\\\\Rightarrow 3x(x-2)+1(x-2)=0\\\\\Rightarrow (x-2)(3x+1)=0\\\\\Rightarrow x-2=0,~~~3x+1=0\\\\\Rightarrow x=2,-\dfrac{1}{3}.$

Thus, the required solution is $x=2,-\dfrac{1}{3}.$

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