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borishaifa [10]
3 years ago
8

What is the value of the function when x = 2? A set of points are plotted on a coordinate grid. The points include point 1, 2...

point negative 1, 4... point negative 2, 2... point 3, 4... point 2, 6... point negative 3, 6... and point negative 4, 3.
Mathematics
2 answers:
wolverine [178]3 years ago
7 0

Answer:

when x= 2 the corresponding y value is 6, according to the point 2,6

Step-by-step explanation:

Harlamova29_29 [7]3 years ago
4 0
When x= 2 the corresponding y value is 6, according to the point 2,6
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What type of exponential function is f(x)=0.6(2.4)^x ?
Vsevolod [243]

Answer:

<em>The function is of an exponential growth type</em>

<em>Rate of change is 240%</em>

Step-by-step explanation:

<u>Exponential Function</u>

The expression of an exponential function is

f(x)=c.a^{bx}

For a,b,c constants.

1.

The function will be of an exponential growth type if, when x increases, f increases. That behavior comes from the combination of the three constants a,b,c. The best approach to find that out is by taking the first derivative

f'(x)=b.c.lna.a^{bx}

Since a^{bx} is always positive, the product of b.c.lna must be positive to make f increasing. For example, if a>1 and both b and c are of the same sign, f increases for all x. If 0<a<1, then, since lna<0, the product b.c must be negative, i.e. both should have different signs

The function is expressed as

f(x)=0.6\ 2.4^x

we can see a>1, b and c are positive, so the function is of an exponential growth type.

2.

Talking about rates change of real functions takes us to the derivative function. We have already seen the derivative is dependent on all three constants and also of the value of x, so it cannot be predicted as a fixed percentage.

Now, if we picture the function as the general term of a sequence, where x can only take natural values, we can say

\displaystyle \frac{0.6(2.4)^{x+1}}{0.6(2.4)^{x}}=2.4

Each term is obtained as the previous term by 2.4. It's accurate to say the rate of change is 240%

3 0
3 years ago
Read 2 more answers
In a survey conducted at a pet store 150 customers were asked if they owned bird or fish this survey data are shown in relative
gayaneshka [121]

Answer:

A

Step-by-step explanation:

4 0
2 years ago
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​What is the distance between point A and point B?
lina2011 [118]

Answer:

6

Step-by-step explanation:

Count the points, it's hard to explain through the internet

8 0
3 years ago
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3x=15-6y in slope intercept form
sdas [7]

Answer:  y= -1/2x + 5/2

Step-by-step explanation:

3x = 15 -6y

+6y       + 6y

3x +6y =15

-3x           -3x

6y= 15-3x   divide both sides by 6

y= 15/6 - 3/6x

in slope intercept form us y= -3/6x + 15/6  in simplest form is y= -1/2x + 5/2

3 0
3 years ago
Given the function, f (x) = sq3x+3+3, choose the correct transformation.
iren2701 [21]

Answer:

B.

Step-by-step explanation:

First, let's start from the parent function. The parent function is:

f(x)=\sqrt{x}

The possible transformations are so:

f(x)=a\sqrt{bx-c} +d,

where a is the vertical stretch, b is the horizontal stretch, c is the horizontal shift and d is the vertical shift.

From the given equation, we can see that a=1 (so no change), b=3, c=-3 (<em>negative </em>3), and d=3.

Thus, this is a horizontal stretch by a factor of 3, a shift of 3 to the <em>left </em>(because it's negative), and a vertical shift of 3 upwards (because it's positive).

7 0
2 years ago
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