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

Question

, for a dog weighing x pounds.
f(x)=2.5x if 0≤x≤20
f(x)=3.5x if 20≤x≤50
f(x)=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 last point graphed on the first piece of the function, \( f(x) = 2.5x \), occurs at the upper limit of the domain for that piece, which is when \( x = 20 \).

To find the corresponding \( f(x) \) value at \( x = 20 \):

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

Therefore, the last point graphed on the first piece of the function is:

\[ (20, 50) \]