Question

y-axis95 O-20-10-9-8-7-6-5-4-3-21X-axts1 2 3 4 5 6 7 8 9 10-2-3-49-6-7-8-9-105. Which piecewise function represents the graph?X+1 x 1A. P(x) - 5 1

Answer 1

We can answer the question by just looking at the horizontal line. The horizontal line goes through y = 5 where the values in the x-axis are between 1 and 4 without including them.

So, the only piecewise function that has one of the equations as:

f(x) = 4 for 1 < x < 4

is the option A.

We can also prove that for x less than 1, the equation of the line is f(x) = x+ 1 and for x greater or equal to 4, the equation of the line is f(x) = x - 1

For example: the first line goes through the point (0,1), so if x is equal to 0 (less than 1),

f(x) = x + 1 = 0 + 1 = 1

So, the answer is A