Question

Which statements about the graph of this relationship are true? Select two that apply The graph is a curved line. 8 The graph is a straight line. c. The graph is a vertical line. D The graph represents a function 2020 Illuminate Education Inc.

Answer 1

we are given the equation y = x + 1, this is the equation of a line since every line equation has the following form:

`y=mx+b`

In the given equation m = 1 and b = 1. This is also a function beacause it follows the vertical line test, that is, if we draw a line parallel to the y-axis, this line would only touch the graph once.

It can't be a vertical line because the equation of a vertical line is of the form:

`x=k`

Where "k" is a constant, this is not our case.

The graph does have negative outputs, because if we replace x = -3, we get y = -3+1 = -2 , which is a negative output.

If the graph passes through the origin then when x = 0, y = 0, and this is not the case, because if we replace x = 0, we get: y = 0+1 = 1.

Therefore, the only options that apply are that it is a straight line and that it is a function.

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