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3 years ago

Describe the end behavior of the given function f(x)=2/3x-2

Mathematics

1 answer:

Ipatiy [6.2K]3 years ago

4 0

Answer:

The end behavior of f(x)=2/3x-2 is: as x->+ infinity, f(x)->+ infinity

as x->- infinity, f(x)->- infinity

Step-by-step explanation:

When you are asked about the end behavior of a function, look to see where the function is traveling on the graph. For instance, this graph is linear, so you should look to see if the slope is positive or negative. This linear function is positive, so as x is reaching positive infinity the f(x) would also be reaching positive infinity. As x is reaching negative infinity, f(x) would also be reaching negative infinity. The end behavior of a function describes the trend of the graph on the left and right side of the x- axis. (As x approaches negative infinity and as x approaches positive infinity).

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The graph 4x^2-4x-1 is shown. Use the grpah to find the estimates for the solutions of 4x^2-4x-1=0 and 4x^2 - 4x-1=2

Darina [25.2K]

Answer:

a) The estimates for the solutions of $4\cdot x^{2}-4\cdot x -1 = 0$ are $x_{1}\approx -0.25$ and $x_{2} \approx 1.25$ .

b) The estimates for the solutions of $4\cdot x^{2}-4\cdot x -1 = 2$ are $x_{1}\approx -0.5$ and $x_{2} \approx 1.5$

Step-by-step explanation:

From image we get a graphical representation of the second-order polynomial $y = 4\cdot x^{2}-4\cdot x -1$ , where $x$ is related to the horizontal axis of the Cartesian plane, whereas $y$ is related to the vertical axis of this plane. Now we proceed to estimate the solutions for each case:

a) $4\cdot x^{2}-4\cdot x -1 = 0$

There are two approximate solutions according to the graph, which are marked by red circles in the image attached below:

$x_{1}\approx -0.25$ , $x_{2} \approx 1.25$

b) $4\cdot x^{2}-4\cdot x -1 = 2$

There are two approximate solutions according to the graph, which are marked by red circles in the image attached below:

$x_{1}\approx -0.5$ , $x_{2} \approx 1.5$

5 0

3 years ago

Round $38.09 to the nearest dollar $38 $40 $30 $39

Veronika [31]

Answer:

$38

Step-by-step explanation:

Since the last two numbers aren't over 50, we would round down. This leaves you with $38.

7 0

3 years ago

the distant around a track is 1/4 mile. a marathon is 26 1/5 miles. How many laps does it take to run a marathon

sleet_krkn [62]

Answer:

108 1/8

Step-by-step explanation:

1/4=0.25, 1/5=0.2

=>26+0.2=26.2

=>26.2/0.25=108.8

8 0

3 years ago

I need help with this, please!

Vera_Pavlovna [14]

Option D: $x \geq 3$ is the solution

Explanation:

The given expression is $3 x-1 \geq 8$

We need to determine the solution of the expression.

Solution:

The solution of the expression can be determined by solving the expression for the variable x.

Thus, we have,

$3 x-1 \geq 8$

Adding both sides of the expression by 1, we get,

$3x\geq 9$

Dividing both sides of the expression by 3, we get,

$x \geq 3$

Thus, the solution of the expression is $x \geq 3$

Hence, Option D is the correct answer.

6 0

3 years ago

Mis wants to earn 2,000 in her job at a bicycle store. She is paid $55 for each bicycle she tunes up. The minimum number of bicy

Natali [406]

Answer:

Step-by-step explanation:

ok. you said 2000 and 2500 so I'll just solve for both.

this is very simple, mis/mia wants to earn 2000/2500 so let's solve

this can be done two ways. an equation way, or a dividing way. I personally like the dividing way.

2000 divided by 55= 36.36-- so she will have to tune up 37 bicycles

2500 divided by 55= 45.45-- so she will have to tune 46 bicycles. this is because 46 bicycles, times the amount of money == just a little over 2500 so she has reached her goal

3 0

3 years ago