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. 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 function \( f(x) = 2.5x \) is defined for the interval \( 0 \leq x \leq 20 \). The last point graphed on this piece corresponds to the maximum value of \( x \) in this interval, which is 20.

To find the last point, we calculate \( f(20) \):

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

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

The answer is:

(20, 50)