All categories

3 years ago

Which graph represents the function?

Mathematics

2 answers:

IRISSAK [1]3 years ago

8 0

Of course, I would just graph it on Desmos.com or my graphing calculator and be done.

f(x) can be factored as
.. f(x) = (x -6)(x +1)/((x -3)(x +2))

so will have zeros at x = {-1, 6}, vertical asymptotes at x = {-2, 3}, and sign changes at all of those points.

The Upper Right graph is the only one with the zeros and asymptotes in the right places.

scZoUnD [109]3 years ago

5 0

The bottom factors to (x - 30(x + 2) so there are asymptotes at x = -2 and x = 3. Also y intercept id at (0,1) so its either graph 2 or graph 4.
Between x = 0 and x = 3 y is increasing so the correct graph is Graph 2.

You might be interested in

Verify the identitiy:

Advocard [28]

Answer:

$\frac{sinx}{1-cos x}$ = $cosecx$ + $cot x$

Step-by-step explanation:

To verify the identity:

sinx/1-cosx = cscx + cotx

we will follow the steps below;

We will take just the left-hand side and work it out to see if it is equal to the right-hand side

sinx/1-cosx

Multiply the numerator and denominator by 1 + cosx

That is;

$\frac{sinx}{1-cos x}$ = $\frac{sinx(1+cosx)}{(1-cosx)(1+cosx)}$

open the parenthesis on the right-hand side of the equation at the numerator and the denominator

sinx(1+cosx) = sinx + sinx cosx

(1-cosx)(1+cosx) = 1 - cos²x

Hence

$\frac{sinx(1+cosx)}{(1-cosx)(1+cosx)}$ = $\frac{sinx + sinx cosx}{1-cos^{2}x }$

But 1- cos²x = sin²x

Hence we will replace 1- cos²x by sin²x

$\frac{sinx}{1-cos x}$ = $\frac{sinx(1+cosx)}{(1-cosx)(1+cosx)}$ = $\frac{sinx + sinx cosx}{1-cos^{2}x }$ = $\frac{sinx+sinxcosx}{sin^{2}x }$

= $\frac{sinx}{sin^{2}x }$ + $\frac{sinxcosx}{sin^{2}x }$

= $\frac{1}{sinx}$ + $\frac{cosx}{sinx}$

= $cosecx$ + $cot x$

$\frac{sinx}{1-cos x}$ = $cosecx$ + $cot x$

Note that;

$\frac{1}{sinx}$ = $cosecx$

$\frac{cosx}{sinx}$ = $cot x$

6 0

3 years ago

Suppose i pick a jelly bean at random from a box containing two red and ten blue ones. i record the color and put the jelly bean

gtnhenbr [62]

The probability of picking a blue jelly bean is 10/12=0.833, since there are 10 blue and 12 jelly beans in total.

Each time the probability of picking blue is the same, since put back in the box whatever jelly bean we pick

P(blue, blue, blue) = P(blue) × P(blue) × P(blue) = 0.833×0.833×0.833=0.579

Answer: 0.579

8 0

3 years ago

Which of the following could be the function graphed?

Tpy6a [65]

Answer: The answer is $(d)~f(x)=\dfrac{237x}{421x-515}.$

Step-by-step explanation: We are given four different functions of the variable 'x' and a graph. We are told to select one of the four options that which function can be graphed as the graph given in the question.

To check, we start plotting the functions one by one on a graph paper. We see that the graph of first three functions do not match with the given graph, but the graph of the fourth function given by

$(d)~f(x)=\dfrac{237x}{421x-515}$

matches exactly with the graph given in the question. The attached figure will show the graph for this function, which is exactly same as given.

Thus, the correct option is

$(d)~f(x)=\dfrac{237x}{421x-515}$

7 0

3 years ago

Read 2 more answers

The manufacturing of a ball bearing is normally distributed with a mean diameter of 22 millimeters and a standard deviation of .

Misha Larkins [42]

Answer:

0.1507 or 15.07%.

Step-by-step explanation:

We have been given that the manufacturing of a ball bearing is normally distributed with a mean diameter of 22 millimeters and a standard deviation of .016 millimeters. To be acceptable the diameter needs to be between 21.97 and 22.03 millimeters.

First of all, we will find z-scores for data points using z-score formula.

$z=\frac{x-\mu}{\sigma}$ , where,