Mathematics, 17.12.2020 02:20 rdrboo

Which statements are true about function g? Function g is increasing over the entire domain.
As x approaches negative infinity, approaches positive infinity.
Function g includes an exponential piece and a quadratic piece.
As x approaches positive infinity, approaches positive infinity.
Function g is continuous.

Which statements are true about function g?

Function g is increasing over the entire domain.
As x

Answers: 1

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Answer from: huneymarie

B, D, and E.

B: As x approaches negative infinity, g(x) approaches positive infinity.

D: As x approaches positive infinity, g(x) approaches positive infinity.

E: Function g is continuous.

Step-by-step explanation:

To answer this question, we will graph it. Please refer to the graph below.

Let’s go through each of the answer choices.

A) Function g is increasing over the entire domain.

Looking at the graph, we can see that this is not true.

More specifically, the red curve is decreasing over its entire interval.

So, A is not correct.

B) As x approaches negative infinity, g(x) approaches positive infinity.

This is true. As x approaches negative infinity i.e. as we go towards the left of the graph, we can see that our function g(x) (the red curve) is approaching positive infinity.

C) Function g includes an exponential piece and a quadratic piece.

This is false. The first piece is indeed exponential, but the second piece is a cubic, not a quadratic.

D) As x approaches positive infinity, g(x) approaches positive infinity.

Again, this is true. As x approaches positive infinity i.e. As we go towards the right of the graph, we can see that our function g(x) (the blue curve this time) is approaching positive infinity.

E) The function is continuous.

For a function to be continuous, it must have no breaks, jumps, and/or gaps.

We can see that our function does not possess any of the above.

So, g(x) is continuous.

Therefore, the correct statements are B, D, and E.

Which statements are true about function g?

Function g is increasing over the entire domain.
As x a

Answer from: Quest

pooopoopopoopop

step-by-step explanati∵∵∴∴on:

Answer from: Quest

the required function is $y=-x+4$ .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{4-7}{)}=\frac{-3}{3}=-1$

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

$y=mx+b$

where, m is slope and b is y-intercept.

$y=-1x+4$

$y=-x+4$

therefore the required function is $y=-x+4$ . the graph of this function is shown below.

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