Math Snap

STEP 1

Assumptions1. The function $f \mathbb{R} \longrightarrow \mathbb{R}$ is represented by the straight line $f(\chi)= \chi+3 \mathrm{c}^{3}$
. The line passes through the origin point (0,0)

STEP 2

Since the line passes through the origin point (0,0), we can substitute these values into the equation of the line.
f(0) =2 \cdot0 +c^

STEP 3

implify the equation by multiplying2 by0.
$$f(0) =0 +3c^3$$

STEP 4

Since the line passes through the origin, $f(0)$ should equal0. So we set the equation equal to0.
$$0 =3c^3$$

STEP 5

To solve for $c$, divide both sides of the equation by3.
$$0 = c^3$$

STEP 6

To find the value of $c$, we take the cube root of both sides of the equation.
$$c = \sqrt[3]{0}$$

Calculate the value of $c$.
$$c =0$$So, $c =0$ is the solution.