Which of the following are characteristics of the graph of the linear parent function?Check all that apply.A.It has a slope of 2.B.It is a straight line.C.It is in quadrants I and III.D.It goes through the origin.
Question
Which of the following are characteristics of the graph of the linear parent function?Check all that apply.A.It has a slope of 2.B.It is a straight line.C.It is in quadrants I and III.D.It goes through the origin.
Solution
The characteristics of the graph of the linear parent function are:
B. It is a straight line. This is because a linear function has a constant rate of change, which results in a straight line when graphed.
D. It goes through the origin. The linear parent function, y = x, passes through the origin (0,0) because when x is 0, y is also 0.
So, options B and D are correct. Options A and C are not characteristics of the linear parent function. The slope of the linear parent function is 1, not 2 (option A), and the graph of the linear parent function is in all quadrants, not just quadrants I and III (option C).
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the linear parent function?
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