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FromTheMoon [43]
2 years ago
10

Which relationship has a zero slope?

Mathematics
1 answer:
Mandarinka [93]2 years ago
8 0

Answer: X=0

Step-by-step explanation when there is no slope the x=0. The line would be flat and horizontal.

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Determine the end behavior of the following monomial functions. (That is, does the function output increase without bound (→[inf
rosijanka [135]

Answer:

a) f(x) = x²

As x→[infinity], f(x)→[infinity]

As x→−[infinity], f(x)→[infinity]

For this function, f(x) increases without bound as the input increases or decreases without bound. The graph of this function would be symmetric about the y-axis.

b) g(x) = x³

As x→[infinity], g(x)→[infinity]

As x→−[infinity], g(x)→-[infinity]

g(x) increases without bound as the input x increases without bound and decreases also without bound as input x decreases without bound. The graph of this function would be symmetric about the origin.

c) h(x)=−6x³.

As x→[infinity], h(x)→-[infinity]

As x→−[infinity], h(x)→[infinity]

h(x) decreases without bound as the input x increases without bound and increases without bound as input x decreases without bound. The graph of this function would also be symmetric about the origin.

Step-by-step explanation:

Normally, end behaviours predict the nature of the graphs of functions (especially as the values of x become very large, both in the positive and negative sense.

f(x) = x²

As x →[infinity],

f(x) = (∞)² → ∞

f(x) →[infinity]

And as x →−[infinity],

f(x) = (-∞)² → ∞

f(x) →[infinity]

For this function, f(x) increases without bound as the input increases or decreases without bound. The graph of this function would be symmetric about the y-axis.

b) g(x) = x³

As x→[infinity],

g(x) = (∞)³ → ∞

g(x)→[infinity]

As x→−[infinity],

g(x) = (-∞)³ → -∞

g(x)→−[infinity]

g(x) increases without bound as the input x increases without bound and decreases also without bound as input x decreases without bound. The graph of this function would be symmetric about the origin.

c) h(x)=−6x³.

As x→[infinity],

h(x) = -6(∞)³ → -6(∞) → -∞

h(x)→-infinity]

As x→−[infinity],

h(x) = -6(-∞)³ → -6(-∞) → ∞

h(x)→[infinity]

h(x) decreases without bound as the input x increases without bound and increases without bound as input x decreases without bound. The graph of this function would also be symmetric about the origin.

Hope this Helps!!!

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3 years ago
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

What is the unit price, rounded to the nearest cent?

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