4. write an algebraic expression for the sum of twenty and half a number m. 6. the graph of f(x) is shown…

4. write an algebraic expression for the sum of twenty and half a number m. 6. the graph of f(x) is shown. find f(1). find x if f(x)=3. 8. the water level (in feet) of a pool d days without rain is represented by the function: w(d)=9 - 0.1d. find and explain w(4).

4. write an algebraic expression for the sum of twenty and half a number m. 6. the graph of f(x) is shown. find f(1). find x if f(x)=3. 8. the water level (in feet) of a pool d days without rain is represented by the function: w(d)=9 - 0.1d. find and explain w(4).

Answer

Explanation:

Step1: Find (f(1))

Look at the value of the function (y = f(x)) when (x = 1) on the graph.

Step2: Find (x) when (f(x)=3)

Locate (y = 3) on the (y -)axis and then find the corresponding (x -)values on the graph where the function (y=f(x)) intersects (y = 3).

Step3: Find (w(4))

Substitute (d = 4) into the function (w(d)=9 - 0.1d). [w(4)=9-0.1\times4=9 - 0.4=8.6] The value (w(4) = 8.6) means that after 4 days without rain, the water - level of the pool is 8.6 feet.

Answer:

For (f(1)), find the value on the graph at (x = 1). For (x) when (f(x)=3), find the (x -)intersections with (y = 3) on the graph. (w(4)=8.6), which means the water - level of the pool is 8.6 feet after 4 days without rain.