Write the equation of the piecewise function ƒ that is represented by its graph.

Step-by-step explanation:

We have been given graph of a piece-wise function. We are asked to write the equation for the given piece-wise function.

We can see that for x values greater than or equal to 0 and less than 1, the function is a line.

We can see that our given line is a horizontal line, so it will be in form intersecting y-axis at .

The given crosses y-axis at (0,2), therefore, its equation would be .

We can see that for x values greater than 1, the graph is a reflected and shifted square root function.

The square root function is reflected across x-axis and has a vertex at (1,1), therefore, our function for second part would be .

The function is not defined at and it can a jump continuity.

Therefore, our required piece-wise function would be:

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

correct answer is b. 27/8

step-by-step explanation: