Question

Graph:
f(x) = 2.5x if 0 <= x <= 20, 3.5 x if 20 <= x <= 50, 5x if x > 50?

What would be the last point graphed on the first piece of the function, f(x) = 2.5x?

Answer 1

To determine the last point graphed on the first piece of the function, \( f(x) = 2.5x \), let's first identify the domain for this piece of the function.

The first piece of the function is defined for \( 0 \leq x \leq 20 \). The last point in this domain would occur at \( x = 20 \).

Now, we can calculate the value of the function at this point:

\[
f(20) = 2.5 \times 20 = 50
\]

Thus, the last point graphed on the first piece of the function is \( (20, 50) \).