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Semmy [17]
3 years ago
11

Analyze the graph below to identify the key features of the logarithmic function. The x-intercept is y = 2, and the graph approa

ches a vertical asymptote at y = 3.
The x-intercept is x = 2, and the graph approaches a vertical asymptote at x = 3.
The x-intercept is y= -2, and the graph approaches a vertical asymptote at y = -3.
The x-intercept is x = -2, and the graph approaches a vertical asymptote at x = -3.

Mathematics
1 answer:
Mamont248 [21]3 years ago
7 0

Answer:

The x-intercept is x = -2, and the graph approaches a vertical asymptote at x = -3.

Step-by-step explanation:

The given graph is a transformed logarithm function.

The graph is obtained by shifting the parent function three units left.

The vertical asymptote is now

x =  - 3

The x-intercept is where the graph intersect the x-axis, which is x=-2

Therefore the last option is correct.

You might be interested in
Z is proportional to x^3. describe exactly what will happen to x when z became 8 times greater
Reil [10]

Answer: x is doubled.

Step-by-step explanation:

A proportional relationship between x and y is written as:

y = k*x

where k is called the constant of proportionality.

In this case, we know that we have a proportional relationship between z and x^3

Then:

z = k*x^3

What will happen to x when z is 8 times greater?

Let's rewrite this equation for two new quantities, z' and x'

z' = k*(x')^3

Now we need to replace z' by 8*z, then:

8*z =  k*(x')^3

We want to find a relationship between x' and x.

And by the first relationship, we know that:

z =  k*x^3

Then we can replace this in the equation "8*z =  k*(x')^3" to get:

8*(k*x^3) =  k*(x')^3

8*k*x^3 = k*(x')^3

Now we can divide both sides by k, so we get:

8*x^3 = (x')^3

Now we can apply the cubic root to both sides, to get:

∛(8*x^3) = ∛(x')^3

∛(8)*x = x'

2*x = x'

Then when we increase the value of z 8 times, the value of x will be doubled.

8 0
3 years ago
There is a set of 100 observations with a mean of 50 and a standard deviation of 0. What is the value of the smallest observatio
neonofarm [45]
In order to obtain a standard deviation of 0, all members of the data set should be equal.
This means that each of the 100 members in the data set is equal to 50 (the mean value).

Answer:
The smallest observation in the set is 50.
8 0
3 years ago
Read 2 more answers
32
____ [38]
10/15-57-57 is the answer
6 0
3 years ago
(2 + 3x)<br> 62<br> I need help my brother beats me up cause I don’t know jdjdjefjdjjdfjjddjjffjfj
Triss [41]

Answer:

x=20

Step-by-step explanation:

I hope this helps. Sorry if i'm wrong.

3 0
3 years ago
How to find volume of a rectangular prism ith surface area, width and length but no height
Tpy6a [65]
Volume equals width times height times length
8 0
3 years ago
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