212k views
2 votes
Find the interval in which f(x) = 3x2 - 2x is decreasing.

Find the interval in which f(x) = 3x2 - 2x is decreasing.-example-1

1 Answer

4 votes

Answer:

Option (3)

Explanation:

Given function is,

f(x) = 3x² - 2x

=
3(x^(2) -(2)/(3)x)

=
3(x^(2) -(2)/(3)x+(1)/(9)-(1)/(9))

=
3(x^(2)-(2)/(3)x+(1)/(9))-(1)/(3)

=
3(x-(1)/(3))^2-(1)/(3)

Vertex of the parabola →
((1)/(3),-(1)/(3))

Here, leading coefficient is positive (+3),

Therefore, parabola will open upwards.

In a parabola opening upwards function decreases from negative infinity to the x value of the vertex.

Function will decrease in the interval (-∞,
(1)/(3)).

Option (3) will be the answer.

User Ankit Basarkar
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.