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3 years ago

Which of the following relations has an inverse that is not a function?

Mathematics

1 answer:

sertanlavr [38]3 years ago

8 0

Answer:

Option B is correct.

The relation which has an inverse that is not a function is :(1, 2), (1, 3), (4, 3)

Step-by-step explanation:

Inverse of a function is the set of ordered pairs obtained by interchanging the first and second elements of each pair in the original function.

Let f(x) ={(1, 2), (1, 3), (4, 3)}

To find the inverse:

Inverse of f(x)=g(x)= {(2, 1), (3, 1), (3, 4)}

Function states that a relation in which each input value has only one output value.

Since, g(x) is not a function because the input 3 has multiple output values,.

Therefore, the only relation which has an inverse that is not a function is :(1, 2), (1, 3), (4, 3)

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3 years ago

Which expression can be simplified to find the slope of the trend line in the scatterplot?

Nutka1998 [239]

Answer: $\frac{35-21}{8-4}$

Step-by-step explanation:

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⇒ Fourth option is correct.

3 0

3 years ago

Read 2 more answers

Which of the following is true for the interval from 3-5 seconds

kondaur [170]

Answer:

Option C

Step-by-step explanation:

The given function is: $h(t)=-16t^2+80t+108$ .

$h(5)=-16(5)^2+80(5)+108=108$ .

$h(3)=-16(3)^2+80(3)+108=204$ .

The average rate of change of this function on the interval t=3 to t=5 is given by:

$\frac{h(5)-h(3)}{5-3}$

$\frac{204-108}{2}=-48$

Since the average rate of change is negative on the interval 3-5 seconds, it means the ball is moving downwards at an average rate of 48 feet per second.

The correct choice is C.

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3 years ago