A dog groomer charges her clients by the weight of the dog. The following piecewise function represents the total charge, f(x) , for a dog weighing x pounds.

Question

f(x)=⎧⎩⎨⎪⎪2.5x if 0≤x≤203.5x 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 ?

(1 point)

Answer 1

The first piece of the piecewise function is \( f(x) = 2.5x \) for \( 0 \leq x \leq 20 \). The last point graphed on this piece would be when \( x \) reaches its upper limit, which is \( x = 20 \).

To find the corresponding \( f(x) \) value:

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

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