Formative Assessment

Question $1$: For the following function $f(x)=3x^2-12x+1$

Sketch the graph of $f(x)$

Convert to the vertex form?

Find the vertex point.

State the range of $f(x).$

Question $2.$ Use the given revenue and cost functions:

$R(x)=x(2000-60x)$

$C(x)=4000+500x,$

where both functions have a

domain of $1x25.(x$ in thousands items & $R(x),C(x)$ are in thousands $$)$

Find the break$-$even points.

For what values of $x$ will a loss occur? A profit?