Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x- 32x² + 9 (a) Find the interval on which fis increasing. (Enter your answer using interval notation.) Find the interval on which f is decreasing. (Enter your answer using interval notation.) (b) Find the local minimum and maximum values of f. local minimum value local maximum value

Question
Consider the equation below. (If an answer does not exist, enter DNE.)
f(x) = x- 32x² + 9
(a) Find the interval on which fis increasing. (Enter your answer using interval notation.)
Find the interval on which f is decreasing. (Enter your answer using interval notation.)
(b) Find the local minimum and maximum values of f.
local minimum value
local maximum value
Expand
Transcribed Image Text

Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x- 32x² + 9 (a) Find the interval on which fis increasing. (Enter your answer using interval notation.) Find the interval on which f is decreasing. (Enter your answer using interval notation.) (b) Find the local minimum and maximum values of f. local minimum value local maximum value

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Calculus

Functions

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: Hume's pet shop purchases cat litter for $15.00 less 20% per bag. The store's overhead is 45% of cos...

A: Click to see the answer

Q: As a balloon in the shape of a sphere is being blown up. the volume is increasing at the rate of 4 c...

A: Click to see the answer

Q: number 1

A: Given: fx=sinx4 about x=0 To Find: Taylor Series Concept: (i). Taylor Series:fx=∑n=0∞fnan!x-an=fa+x-...

Q: In Exercises 11-59, evaluate the integral using the appropriate methodor combination of methods cove...

A: We have to integrate: ∫sin5x cos2x dx Here we will use substitution method since derivative of cosin...

Q: In Exercises 1-10, indicate a good method for evaluating the integral (butdo not evaluate). Your cho...

A: Let the integral be y - y = ∫xsec2x dx                             .......................(1)Using i...

Q: Suppose f(x) = 2² +1 and g(x) = + 1. Then (f + g)(x) = (f - 9)(x) : = (x)(6f) (f/g)(x)= (fog)(x) and...

A: The given functions are fx=x2+1 and gx=x+1

Q: Determine the equation of the parabola whose graph is given below. 5 4 3 6.

A: Click to see the answer

Q: Describe the x-values at which the function is differentiable. (Enter your answer using interval not...

A: Given function y - y = x2x2-36Differentiating y with respect to x -dydx = ddxx2x2-36dydx = x2-36ddxx...

Q: Evaluate the definite integral. x² - dx x' -1

A: Given,          ∫x2x3-1dx

Q: lim x'Vx +7 X-7*

A: To calculate the limit It is a direct limit problem

Q: If the marginal revenue (in dollars per unit) for a month is given by MR = -0.4x + 350, what is the ...

A: Click to see the answer

Q: Determine whether the following equation is a solution to the corresponding differential equation.

A: Given: u'-ucos2v=2ev for finding solution of given differential equation, we first simplify given di...

Q: For each of the following power series determine the interval and radius of convergence.

A: The given series is ∑n=0∞ x+122+n-165+n. Compare the above series with its standard form an=x+122+n-...

Q: For the second question I keep getting 365/6 but the answer is wrong

A: To find the area between the curves,  x = -2, x = 3, y = 9x, y = x2 - 10  

Q: Two resistors R1 and R2 are connected in parallel. If the resistance R1 = 20  & R2 = 10  , find ...

A: Determine the equivalent R for the parallel resistors. Given, R1=20, R2=10Let equivalent resistance=...

Q: Use the given graph of f over the interval (0, 7) to find the following. (a) The open intervals on w...

A: according to given figure function is increasing in interval x∈0,1∪3,7, decreasing in interval x∈1,3...

Q: Find the exact solution for e^2x−6e^x−55=0.   If there is no solution, enter NA.   Enclose arguments...

A: Given that: e2x-6ex-55=0

Q: The population of a city is modeled by the equation  P(t)=235,775e^0.25t where t is measured in year...

A: you can clearly understand if you follow the below solution

Q: Find the equation of the line passing through (1, -2) with slope -8. The point slope form is (y- )=_...

A: the line passing through the point 1,-2 with slope -8.  

Q: Find dy/dx by implicit differentiation. sqrt x+y + sqrt xy=4

A: Given,           x+y+xy=4

Q: 9. The demand function for a certain model of Blu-ray player is given by p = 600 (where p is the uni...

A: a) Consider the given demand function, p=600x-2 it is given that p¯=200. so substitute the value of ...

Q: Verify the following identity. +e = sin 0 2 cos Which of the following four statements establishes t...

A: Given identity as cos3π2+θ=sin θ Use the formula as cos A+B=cos A cos B-sin A sin B

Q: A bolt is tightened by applying a force (F) of 8 N to a 0.2-m wrench (7). The angle between the wren...

A: Given that a bolt is tightened by applying a force F→ of 8 N to a 0.2m wrench (r→). The angle betwee...

Q: ad the indicated integral (if it exists) E dz +1

A: Click to see the answer

Q: Find a plane containing the point (– 3, – 3, 7(t) = (– 2, – 3, – 5) + t(3, 4) and the line 6, 7).

A: we have to find the equation of plane that contains the point (-3,-3,-4)  and the line r→(t)=-2,-3,-...

Q: I dont know how to do all number 3

A: Since you have asked multiple questions in single request  so we  will be answering only first quest...

Q: Solve the following triangle. Round lengths to the nearest tenth and angle measures to the nearest d...

A: Given: B=750, C=150, a=11.

Q: Given that the graph of f(x) passes through the point (9, 6), and that the slope of tangent line to ...

A: First calculate f(x) then use (9,6) to find the constant in f(x). Then find f(5).

Q: Two integers differ by 17 and thier product is 60. What are the integers?

A: It is given that, Two integers differ by 17 and their product is 60

Q: Question: Prove that the limit does not exist. -2|3x| lim 3x

A: Click to see the answer

Q: speed of a cycle is 18 km per hour to the speed of scooter 30 km per hour find the ratio

A: Givenspeed of a cycle=18 km per hourspeed of scooter=30 km per hour

Q: Find an eqaution of the tangent line to the curve at the given point. y = 4x - 3x2, (2,-4)

A: The given function is y=4x-3x2 and the point is 2,-4

Q: Suppose an experiment has six possible outcomes for x: 0, 1, 2, 3, 4, and 5. The probability that ea...

A: you can clearly understand if you follow the below solution

Q: Find the integral of 2x4(1+x10)-1dx exactly. Show all working.

A: I = ∫2x41+x10-1dxI = ?

Q: Verify the identity. (7 cos x-4 sin x)2 + (4 cosx+7 sin x)2 = 65

A: Given,           7cosx-4sinx2+4cosx+7sinx2=65

Q: Calculate the derivative:

A: Click to see the answer

Q: A fence 8 feet tall runs parallel to a tall building at a distance of 6 feet from the building. What...

A: Click to see the answer

Q: Solve for the value of "C" on the given differential equation below. Let y(1)=1 ( 3x5 + y) dx - xdy ...

A: given(3x5+y)dx-xdy=0let us simplify this equation(3x5+y)dx-xdy=0dx=xdydydx=(3x5+y)xdydx-1xy=3x4this ...

Q: Find a point on the curve y = x² that is closest to the point (18, 0). %3D y =2 (x, y) (18, 0)

A: Find a point on the curve y=x2 that is closest to the point  Here use distance formula  d=x2-x12+y2-...

Q: Question: Use the precise definition of the limit to prove the value of the limit, x² – 15x + 56 lim...

A: Given, limx→7x2-15x+56x-7=-1Let ∈>0,we need δ>0Such that f(x)-L <∈,if x-a<δNow,According...

Q: By using the definition of hyperbolic functions, show that sinh x = 1 (cosh 2x – 1). -

A: Given,         sinh2x=12cosh2x-1

Q: A bike shop reduces the price of a bike for quick sale from $455.00 to $395.00. Compute  the markdow...

A: Given: A bike shop reduces the price of a bike for quick sale from $455.00 to $395.00.

Q: A coal-burning electrical generating plant emits sulfur dioxide into the surrounding air. The concen...

A: Click to see the answer