Answer:
The answers are B , C , D
Step-by-step explanation:
* Lets explain the meaning of linear parent function
- A linear parent function is the equation y = x or f(x) = x
- A parent function is the simplest equation of a function
- It represented by a straight line passing through the origin point O
- The x-coordinate and the y-coordinate of any points lie on it are equal
- The slope of the line is 1 because the slope is the change of Δy/Δx
and Δy = Δx
* Lets solve the problem
- The characteristics of the graph of the linear parent function are
∵ Linear parent function is f(x) = x and f(x) = y
∴ x = y
∵ The slope = Δy/Δx
∵ Δx = Δy because x = y
∴ The slope of it is 1
B. It has a slope of 1
∵ y = 0
∵ If x = 0 then y must = 0
∴ It goes through the origin
C. It goes through the origin
∵ It is a linear function
∵ All linear function represented by a straight line
∴ The graph of the linear parent function is a straight line
D. It is a straight line
* The answers are B , C , D
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