Question

1.6.3 test (cst): functions
which of the following values are in the range of the function graphed below?
check all that apply

a. 1
b. -4
c. 2
d. 4
e. 0
f. -1

Explanation:

The graph appears to be a horizontal line (constant function) below the x - axis (since it's in the negative y - region). The range of a constant function \(y = k\) is just \(\{k\}\). From the graph, the y - value of the horizontal line seems to be around - 4 or - 1 (looking at the y - axis markings, the line is between - 10 and 0, closer to - 4 or - 1? Wait, actually, looking at the graph, the horizontal line is at \(y=-4\) or \(y = - 1\)? Wait, the options: B is - 4, F is - 1. Wait, maybe the graph is a horizontal line at \(y=-4\) or \(y=-1\)? Wait, the key is that the range of a function is the set of y - values it takes. So if the graph is a horizontal line (constant function), then the y - value(s) it has are in the range. So if the line is at \(y=-4\) or \(y=-1\) (maybe the graph is a horizontal line at \(y = - 4\) or \(y=-1\)? Wait, looking at the options, B (-4) and F (-1) are negative y - values, and the graph is below the x - axis (since the line is in the lower part of the coordinate plane). So the y - values of the function (the range) are the y - coordinates of the points on the graph. So if the graph is a horizontal line, say at \(y=-4\) or \(y=-1\), then those y - values are in the range. So among the options, B (-4) and F (-1) are in the range.

Answer:

B. -4, F. -1