Question

HELP! Type the correct answer in each box. Use numerals instead of words, if necessary, use / for the fractions bar(s)

Answer 1

For -1 <= x <= 1:
We can see that the graph forms a line parallel to the x-axis with a constant value 4.
Therefore of this interval : f(x) = 4

For 3 <= x <= 5:
We can see that the graph forms a linear function.
The equation for a linear function is : f(x) = mx + c where m is the slope and c is the intercept.
points (3,2) and (5,4) lie on this graph, we can use them to calculate the slope as follows:
m = (y2-y1) / (x2-x1) = (4-2) / (5-3) = 2/2 = 1
point (3,2) satisfies the equation as follows:
2 = 1(3) + c ............> c = -1
We can check the value of c using the other point (5,4) as follows:
4 = 1(5) + c ..............> c = -1
Based on the above calculations:
For the given interval: f(x) = x -1