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2 years ago

The graph of y=f(x) is given above. For what value of x is y=f(x-4) undefined?

Mathematics

1 answer:

cricket20 [7]2 years ago

8 0

Answer: Choice D) 5

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Notice the hole at (1,2). This means x = 1 and y = 2
y = f(x)
y = f(1) after we replace x with 1
y = 2

If we go from f(x) to f(x-4), then we shift the xy axis four units to the left. The curve will stay still though it will move relative to the xy axis. The xy axis moves four units to the left, so it appears that the curve moved 4 units to the right.

Add 4 to the x coordinate:
x = 1 ---> x+4 = 1+4 = 5
The y coordinate stays the same. No vertical shifting is done.

So we go from (1,2) to (5,2)
(1,2) is a hole on y = f(x)
(5,2) is a hole on y = f(x-4)

This is why the answer is x = 5

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2 years ago

Josh sold his bike for 10% less than he paid for it. IF he sold the bike for 585 how much did he pay for it?

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To know how much he bought it for, let's consider the actual amount it be x.

Step-by-step explanation:

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x/10 + $585 = x

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3 years ago

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Step-by-step explanation:

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Vertex form of parabola

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1 year ago

Choose which function is represented by the graph A. f(x) = (x - 1)(x + 2)(x+5)(x+10)

Trava [24]

Answer:

Option B

Step-by-step explanation:

From the graph attached,

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Therefore, (x + 1), (x - 2) and (x - 5) are the zero factors of the given graphs.

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Since, -intercept of the function is y = 10

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Option B will be the answer.

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