Question

1. 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).

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.