explain the error\nhere are four false statements about the graph.\nselect one and explain why its…

explain the error\nhere are four false statements about the graph.\nselect one and explain why its false.\nthe domain is $-6 \\leq x \\leq -1$\nthe domain is $-5 \\leq x \\leq 5$\nthe range is $y \\leq 5$\nthe range is $-5 \\leq y \\leq 1$

explain the error\nhere are four false statements about the graph.\nselect one and explain why its false.\nthe domain is $-6 \\leq x \\leq -1$\nthe domain is $-5 \\leq x \\leq 5$\nthe range is $y \\leq 5$\nthe range is $-5 \\leq y \\leq 1$

Answer

Answer:

The domain is (-6\leq x\leq - 1) is false.

Explanation:

Step1: Recall the definition of domain

The domain of a graph is the set of all (x -)values for which the graph exists.

Step2: Analyze the given graph

Looking at the graph, the (x -)values start from a value greater than (-6) (say (x=-5.5) approximately) and go up to (x = 2) (approximately). So the statement "The domain is (-6\leq x\leq - 1)" is false because the graph has points for (x) values greater than (-1) (e.g., (x = 0,x=1,x = 2)) and also the left - most (x) value is greater than (-6).

Another example:

Step1: Recall the definition of range

The range of a graph is the set of all (y -)values for which the graph exists.

Step2: Analyze the range for "The range is (-5\leq y\leq1)"

Looking at the graph, the (y -)values go below (y=-5) (e.g., (y=-6) approximately) and also go above (y = 1) (e.g., (y=4)). So the statement "The range is (-5\leq y\leq1)" is false.