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Effectus [21]
2 years ago
15

For the graph, which are possible functions f and g?

Mathematics
1 answer:
den301095 [7]2 years ago
6 0

The possible functions for f and g are f(x) = 3^{x} and g(x) = (\frac{1}{3} )^{x}

<h3>What is an exponential function?</h3>

An exponential function is a mathematical function of the following form: f ( x ) = p^{x} where x is a variable, and p is a constant called the base of the function. The most commonly encountered exponential function base is the transcendental number e.

Analysis:

If for every value of x being positive and y is a positive whole number and for every x being negative y is a positive fraction, then that exponential function has a whole number base, Other wise it would have a fractional base. From the above explanation, f has (1,3) (positive x and whole number y) and (-1, 1/3) (negative x and positive fraction y). so therefore f has a whole number base and g has a fraction base.

Therefore f(x) = 3^{x} and g(x) = (\frac{1}{3} )^{x}

Learn more about exponential functions: brainly.com/question/2436547

#SPJ1

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Tori had $20 to buy a birthday present for her dad. She decided to buy a DVD for $18. The sales tax is 7%. Does she have enough
rodikova [14]
18 * 1.07 = 19.26

So Yes $20 Is Enough For The DVD
8 0
3 years ago
The double number line shows that in 222 minutes, Pogo the dog can fetch a frisbee 666 times. Based on the ratio shown in the do
Ilia_Sergeevich [38]

Answer:

Dog Pogo will fetch the frisbee <u>12 times</u> in 4 minutes.

Step-by-step explanation:

Given:

Number of minutes required =2 minutes.

Number of times frisbee fetch by dog = 6 times

We need to find Number of times the dog can fetch the frisbee in 4 minutes.

First we will find number of frisbee fetch in minute.

In 2 minutes = 6 times frisbee fetched by the dog

so in 1 minute = Number of times frisbee fetched by the dog in 1 minute.

By using Using Unitary method we get;

Number of times frisbee fetched by the dog in 1 minute = \frac{6}{2} =3

Hence in 1 minutes the dog can fetch frisbee 3 times.

for 1 min = 3 times frisbee is been fetched by dog

So for 4 minutes = Number of times frisbee is been fetched by dog in 4 min.

Again by using Unitary Method we get;

Number of times frisbee is been fetched by dog in 4 min = 3\times4 = 12

Hence Dog Pogo will fetch the frisbee <u>12 times</u> in 4 minutes.

8 0
3 years ago
Read 2 more answers
Help me please , thank you so much
Harlamova29_29 [7]

Domain: All real numbers, or (-∞,∞) depending on how you want to write it.

Range: [-4, ∞)

Vertex: (-2, -4)

Axis of symmetry: x = -2

Interval of increase: (-2, ∞)

Interval of decrease: (-∞, -2)

Y-int: (0, 0)

X-int/Zero/Solution(s): (-4, 0) and (0, 0)

For a polynomial function like this, which is a quadratic function, the domain is always negative infinity to positive infinity, or all real numbers.

The range is the lowest y-value to the highest y-value. The lowest y-value for this is at the vertex, but the function has no upper limit for the y-value.

The vertex is the point that you can very clearly see is at the tip of the graph.

Axis of symmetry is the vertical line that splits the graph in half at the vertex.

Interval of increase is the interval x values for which the function is increasing. The function increases to the right of the vertex.

Interval of decrease is to the left of the vertex.

The y-intercept is clearly (0, 0), where the graph intersects the y-axis.

The x-intercepts are also clear, since you can see where the graph intersects the x-axis.

6 0
3 years ago
99x78<br> 123x56<br> 98x172<br> 38x900
yanalaym [24]

Answer:

99x78=7722

123x56=6888

98x172=16856

900x38=34200

Step-by-step explanation:

8 0
2 years ago
G(x)=-x^2/4 +7<br> Over which interval does g have a negative average rate of change?
Sholpan [36]

Answer:

x = 49

Step-by-step explanation:

1- Substitute g ( x ) = 0

Reduce

g ( x ) = - x 2/4 + 7

2- Move the variable to the left

0 = - x 1/2 + 7

3- Simplify the equation

x 1/2 = 7

4- Simplify Evaluate

( x 1/2 ) ² = 7²

5- Check the solution

x= 49

6- Simplify

0= - 49 2/4 + 7

7- x = 49 is a solution

0 = 0  

4 0
3 years ago
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