1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Free_Kalibri [48]
3 years ago
7

Find all x-intercepts and y-intercepts of the graph of the function . f(x) = - x ^ 3 + x ^ 2 + 12x If there is more than one ans

wer, separate them with commas. Click on "None" if applicable.
Mathematics
1 answer:
ololo11 [35]3 years ago
3 0

Answer:

The y-intercept is (0,0)

The x-intercepts are (-3,0), (0,0), and (4,0)

Step-by-step explanation:

So we have the function:

f(x)=-x^3+x^2+12x

And we want to solve for the x- and y-intercepts.

Y)

To solve for the y-intercept, recall that the y-intercept is when the graph touches the y-axis. At that point, the x values is 0. Thus, to find the x-intercept, substitute 0 for x:

f(x)=-(0)^3+(0)^2+12(0)

Simplify:

f(x)=0

So, the y-intercept is (0,0)

X)

To solve for the x-intercept(s), set the function equal to 0 and solve for x:

0=-x^3+x^2+12x

First, factor out a negative x:

0=-x(x^2-x-12)

Factor within the parentheses:

0=-x(x-4)(x+3)

Zero Product Property:

-x=0\text{ or } x-4=0\text{ or } x+3=0

Divide by -1 on the first one. Add 4 on the second one. And subtract 3 on the right:

x=0\text{ or } x=4\text{ or } x=-3

So, our x-intercepts are:

(-3,0), (0,0), (4,0)

And we're done :)

You might be interested in
Can you give me the Answers for Estimating 92 × 68
Elodia [21]

Answer:

The answer is 6256 of this question

4 0
3 years ago
Read 2 more answers
Center -c (3,-2), radius 4. ​
taurus [48]

Answer:

(x-3)^2+(y+2)^2=16

Step-by-step explanation:

center (h,k) radius r

(x-h)^2+(y-k)^2=r^2

6 0
3 years ago
Point B is on a line that has a slope of 2. Which of these could be the coordinates of another point on the line?
zmey [24]
the answer is (1,2)
7 0
3 years ago
Read 2 more answers
Given f(x) = 10 - 16/x, find all c in the interval [2,8] that satisfy the mean value theorem
Katen [24]
F(x)=10-16/x
f'(x)=16/x^2
f'(c)=16/c^2
f(8)=10-16/8=10-2=8
f(2)=10-16/2=10-8=2
f'(c)= \frac{f(b)-f(a)}{b-a} in (2,8),
 \frac{16}{c^2} = \frac{f(8)-f(2)}{8-2} ,
 \frac{16}{c^2} = \frac{8-2}{8-2}

4∈[2,8] is the required point.
8 0
3 years ago
Read 2 more answers
a window is shaped like a semicircle and has diameter of 2 feet which expression describes the perimeter in feet of the window
mart [117]

Answer:

5.14 ft

Step-by-step explanation:

The perimeter of a circle is diameter X 3.14. since its half a circle, take the radius and multiply by 3.14. Since the radius is 1, the answer is pi itself. Then add 2 feet for the flat side of the semi-circle

3 0
3 years ago
Other questions:
  • Question 1(Multiple Choice Worth 2 points) Find the derivative of f(x) = 7 divided by x at x = 1.
    13·2 answers
  • Match the inequality to the number line that represents its solution.
    15·2 answers
  • Identify the transformation(s) where the image has the opposite orientation as the preimage.
    9·2 answers
  • Help, how do u find h?
    5·1 answer
  • The units digit of a two digit number is 1 more than twice the tens digit. If the digits are reversed, the new number is 36 more
    5·1 answer
  • Mike is putting up a snow fence on the west side of his property. He needs a post at each end to hold the fence up and would lik
    5·2 answers
  • Find the given value of each angle for the following supplementary angles must add up to 180
    5·1 answer
  • 17 = x + 9 <br> Whats the answer i need it now pls &amp;&amp; thank uu .
    11·2 answers
  • Brita has a monthly budget of x dollars. She spends $1,425 on her mortgage every month. One-third of her remaining budget is spe
    9·1 answer
  • 100 points.<br> Find the surface area of the triangular prism. The unit is cm^2
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!