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During a nine-hour snowstorm, it snows at a rate of 1 inch per hour for the first 2 hours, at a rate of 2 inches per hour for the next 6 hours, and at a rate of 0.5 inch per hour for the final hour. Write and graph a piecewise-defined function that gives the depth of the snow during the snowstorm. How many inches of snow accumulated from the storm?

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Don't do the question in the image, do this   Using four triangles to estimate the area under f(x) is approximately ----

You have a 20-meter length of wire. An x meter length is cut from the end of the wire, and is formed into a circle. The remaining portion of the wire is formed into a square.  a) Write an expression for A (x), the total are (in m^2) of the the circle and the square together, as a function of x.  b) Suppose that the area of the square may be no greater than 5m^2. Under these conditions, what is the domain of the function A (x)? Give an exact awnser.

Use the graph of f'  shown in the figure (see the figure as attached here ). to answer the following :- Which is greater, the area under the graph of f '  from 1 to 2 or the area under the graph of f  from 3 to 4?

Let f(x) = 3 + 2x2 Estimate the area under the graph of f, the x-axis, and the lines x = −1 and x = 2 using three rectangles and midpoints. Then, improve your estimate by using six rectangles.

Determine if the following functions are one-to-one by inspecting their graphs using the Vertical line test (VLT) and the Horizontal Line Test (HLT). You do not need to sketch the graphs. I am still have troubling solving these one...  16.) Y= 2x^3-4x^2-3x+517.) Y=x^2, X greater than or equal to 0

Consider the function that assigns to each number x the value 3x^2 (three x to the second power).  a. Find the output assigned to each input listed in the table. Input (x) Output (3x^2) -2   -1   0   1   b. The average rate of change of the function using the rows for x = -2 and x = -1 from the table is ____________. c. The average rate of change of the function using rows for x = 0 and x = 1 from the table is ____________. d. Do you think the function is linear or nonlinear? Answer choices; 1. Linear 2. Nonlinear Explain your answer.

Is Vertical dilation  when a function is either stretched or compressed along the y axis?Is Horizontal dilation is when a function is stretch or compressed along the x axis?