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 piecewise function is given as \( f(x) = 2.5x \) for the interval \( 0 \leq x \leq 20 \).

The last point graphed on this segment corresponds to the upper endpoint of the interval, which is \( x = 20 \).

To find the function value at this point, we can substitute \( x = 20 \):

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

Thus, the last point graphed on the first piece of the function \( f(x) = 2.5x \) is \( (20, 50) \).

So, the answer is: (20, 50).