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mash [69]
3 years ago
14

Helppppppppppppppppppppppppppppppppppp

Mathematics
1 answer:
drek231 [11]3 years ago
3 0
Answer: the third option m(x) = - 7x

Justification:

1) For a function to have inverse function, the original function has to be one to one. This is for the original function two (or more) images cannot have different inputs. That condition is satisfied by the function m(x) = - 7x, since it is a straigh line.

2) the function b (x) = x^2 + 3 is a parabola. That means that, except by the vertex, every image is realated with two inputs.

For example, b(x) = 103 => x^2 = 103 - 3 = 100 => x = 10 and x = -10.

3) For the function d(x) = - 9, you cannot tell the input value for the image because it is the same image for any value of x.

4) The function p(x) = |x| also has a pair of images for the same value of x (excpet for the vertex).

For example, for x = - 100 and x = 100, p(x) = 100, so you cannot tell the x value given the p(x) value.


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Hey there!

Let's go through all of our options.

A) It's defintely not curved; it's written in slope intercept form and is indeed a straight line.

B) Yes, the graph is a straight line. Although it's at an angle, it has no curves or flaws, and is completely straight.

C) The graph is not vertical. It has a y intercept and slope and therefore isn't. That's because it has a rate of change, and it crosses the y axis at some point depending on the slope, or rise over run. Vertical lines really don't have that.

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E) This is false. If we put in -5 as our input, we add 1 and get -4, which is a negative output. Your output here depends on the input you put in, and the sign usually remains considering it's +1.

F) This graph does not pass through the origin. This is because the origin has a point at 0,0 and since it's x+1, it would be 0,1 instead because your output is adding one to that 0.

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