Question

Medal---*question in pic file below*

Answer 1

@ganeshie8

Answer 2

@AlexandervonHumboldt2

Answer 3

@undeadknight26

Answer 4

\[\large \int\limits_x^0f'(x)dx = f(0) - f(x) \]

Answer 5

\[f(x) = f(0) - \large \int\limits_x^0f'(x)dx \]

Answer 6

it achieves minimum value when the Area below curve is largest

Answer 7

From the graph the largest area in interval [-3, 0] is
\[3*3/2 = 4.5\]

so the minimum value would be
\[f(x) = f(0) - 4.5 = 7-4.5 = 2.5\]

Answer 8

kk!