Function

Algebra Level 1

Consider a function f f satisfying f ( x ) = ∣ x 3 − 7 x ∣ f(x) = | x^{3} - 7x | . What is the value of f ( 3 ) f(3) ?

13 6 11 -13 -6

Tushar Showrav by Tushar Showrav , 22, Bangladesh

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

3 solutions

Hung Woei Neoh
Jun 8, 2016

f ( 3 ) = ∣ 3 3 − 7 ( 3 ) ∣ = ∣ 27 − 21 ∣ = ∣ 6 ∣ = 6 f(3) = |3^3 - 7(3)| = |27 - 21| = |6| = \boxed{6}

4 Helpful 1 Interesting 1 Brilliant 0 Confused

It is really a straight forward solution, i like the procedure

Alexander Anim-Anti - 4 years, 9 months ago
Betty BellaItalia
Apr 17, 2017

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Ma Pm
Jun 8, 2016

f ( 3 ) = ∣ 3 ³ − 7 ∗ 3 ) ∣ = 3 ∗ ( ∣ 3 ² − 7 ∣ ) = 3 ∗ ( ∣ 9 − 7 ∣ ) = 3 ∗ ∣ 2 ∣ = 3 ∗ 2 = 6 f(3)=|3³-7*3)|= 3*(|3²-7|)=3*(|9-7|)=3*|2|=3*2=6

1 Helpful 0 Interesting 0 Brilliant 2 Confused

It is a simplified and factorised version, love that.

Alexander Anim-Anti - 4 years, 9 months ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...