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3 years ago

Is my graph correct? And what is the range of the function above?

Mathematics

2 answers:

Tomtit [17]3 years ago

8 0

Graph is incorrect.

Find points (x,y)

If x=#, what does y=?

Example:

Y=5x+4

Y=5•0+4

Y=0+4

Y=4

Points:

(0,4)

(-1,1)

(-2,-6)

Also, only draw the line in areas where x≤0

Meaning nothing should be on the right half of the square.

The range means what Y values are possible?

When draw properly, with nothing on the right half, the highest Y value will be 4.

So, the range is y≤4

azamat3 years ago

5 0

Answer:

The range is f(x) <= 4.

Step-by-step explanation:

The general form of a straight line is y = mx + c where m = the slope of the line and c = the y-intercept. If we compare this with y = 5x + 4 we see that the slope = 5 and the y-intercept is 4.

Your graph has got the wrong slope . The slope should be the coefficient of x which is 5. The slope of your graph ( rise / run) = 1. The y-intercept is +4 which you have correct.

Also since the domain is x <= 0 the line should stop

at the point (0, 4) because the maximum value of y is 4.

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Please help me w the answer

evablogger [386]

Answer:

$\frac{2(x-6)(x-10)}{(x-4)(x-5)}$

Step-by-step explanation:

In essence, one needs to work their way backwards to solve this problem. Use the information to construct the function.

The function has verticle asymptotes at (x = 4) and (x = 5). This means that the denominator must have (x - 4) and (x - 5) in it. This is because a verticle asymptote indicates that the function cannot have a value at these points, the function jumps at these points. This is because the denominator of a fraction cannot be (0), the values (x - 4) and (x - 5) ensure this. Since if (x) equals (4) or (5) in this situation, the denominator would be (0) because of the zero product property (this states that any number times zero equals zero). So far we have assembled the function as the following:

$\frac{()}{(x-4)(x-5)}$

The function has x-intercepts at (6, 0), and (0, 10). This means that the numerator must equal (0) when (x) is (6) or (10). Using similar logic that was applied to find the denominator, one can conclude that the numerator must be ( $(x - 6)(x-10)$ ). Now one has this much of the function assembled

$\frac{(x-6)(x-10)}{(x-4)(x-5)}$

Finally one has to include the y-intercept of (0, 120). Currently, the y-intercept is (60). This is found by multiplying the constants together. (6 * 10) equals (60). One has to multiply this by (2) to get (120). Therefore, one must multiply the numerator by (2) in order to make the y-intercept (120). Thus the final function is the following:

$\frac{2(x-6)(x-10)}{(x-4)(x-5)}$

6 0

3 years ago

These data represent the volumes in cubic yards of the largest dams in the united states and in South America. Construct a boxpl

Vsevolod [243]

Answer:

Check it below

Step-by-step explanation:

1) The Boxplot is a visual tool to easily find the quartiles of a Distribution. To construct a boxplot it's necessary to organize the data, find at least the upper (3rd Quartile) and lower quartile (1st Quartile), and register the maximum and the minimum value.

2) This graph confirms that the South American ones have much more water than the North American counterparts. Notice the Upper Quartile, (the top of the box) for the Southern ones, it's over 100,000 yrds³. And Compare to the Northern one.