Question

trazar el gráfico de la función $f(x)=2x-6$.

Explanation:

Step1: Find y-intercept (x=0)

Substitute $x=0$ into $f(x)=2x-6$:
$f(0)=2(0)-6=-6$
Point: $(0, -6)$

Step2: Find x-intercept (f(x)=0)

Set $2x-6=0$ and solve for $x$:
$2x=6 \implies x=3$
Point: $(3, 0)$

Step3: Plot points and draw line

Mark $(0, -6)$ and $(3, 0)$ on the grid, then draw a straight line passing through both points (extend the line across the entire grid).

Answer:

The graph is a straight line passing through the points $(0, -6)$ and $(3, 0)$, extending infinitely in both directions along the grid.