Given that the function f(x)=4x−3

Plugging x=2x both sides we have

f(2x)=4(2x)−3

=8x−3

=2(4x−3)+3

=2f(x)+3

Therefore, we get

f(2x)=2f(x)+3

Plugging x=2x both sides we have

f(2x)=4(2x)−3

=8x−3

=2(4x−3)+3

=2f(x)+3

Therefore, we get

f(2x)=2f(x)+3

Question

asked 2021-05-18

Find the absolute max and min values at the indicated interval

\(f(x)=2x^{3}-x^{2}-4x+10, [-1,0]\)

\(f(x)=2x^{3}-x^{2}-4x+10, [-1,0]\)

asked 2021-05-09

Find the absolute maximum and minimum values of f on the given interval.

\(f(x)=4x^{3}-6x^{2}-24x+9. [-2,3]\)

\(f(x)=4x^{3}-6x^{2}-24x+9. [-2,3]\)

asked 2021-05-08

Given that point (x, y) is on the graph of \(\displaystyle{y}={4}{x}^{{2}}\), express the distance from (3,4) to (x,y) as a function of x.

asked 2021-06-01

Consider the function \(f(x)=2x^{3}+6x^{2}-90x+8, [-5,4]\)

find the absolute minimum value of this function.

find the absolute maximum value of this function.

find the absolute minimum value of this function.

find the absolute maximum value of this function.