From a 18-cm by 18-cm piece of cardboard, square corners are cut out so that the sides can be folded up to make a box. Complete parts a through c below. a) Express the volume of the box as a function of the side x, in centimeters, of a cut-out square. V= 324x+ 4x - 72x? b) Find the domain of the function. (Type your answer in interval notation.)

Q: What is the domain of the function g(x)=x2-3 use interval notation

A: Given: gx=x2-3 The domain of a function g(x) is the set of all values for which the function is…

Q: From a 18-cm by 18-cm piece of cardboard, square corners are cut out so that the sides can be folded…

A: V=x(18-x)2 The length, width and height will…

Q: Find the interval notation:

A: Given that:

Q: Suppose that the cost C (in dollars) of removing p percent of the particulate pollution from the…

A:

Q: Write the domain and range of h using interval notation.

A: As from the graph    The domain is the value of x for which graph is given…

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A:

Q: Find the domain for the function below, stating your answer in interval notation: f(x)=4x+1/x-7

A:

Q: Graph f as a solid line and f-1 as a dashed line in the same rectangular coordinate space. Use…

A: Given that :- fx=3x-4 Draw graph fx as a solid line and f-1x as a dashed line and find domain and…

Q: Find the domain of f and write your answer in interval notation. f(x)%3D6/3-4z +7

A: Given function is: f(x) = 6 sqrt(3 - 4x) + 7 The above function is defined only when: 3 - 4x >= 0…

Q: Find the domain and express it by interval notation.

A: We have to find the domain .

Q: Use interval notation to describe the domain and range of the functions graphed below: 3. 4.

A:

Q: find the domain of the function f(x)=-3x2+2x-3 write in interval notation

A: Solution of the problem as follows

Q: If 120 feet of fence is to be used to enclose a rectangular yard, then the resulting area of the…

A: The resulting area of the fenced yard is given by, A = x(60 − x), where x is the width of the…

Q: " The domain of the function f(x) = Vx2 – 12x + 32 consists of one or more of the following…

A: Given function is, fx=x2-12x+32 We can write the given function as, fx=x-8x-4

Q: Find the domain and b) Sketch the domain of f(x, y)= In(4x² – y) -5 -2 -1 3 4 5 x

A:

Q: Give the domain of the function y = x/7, (Enter your answer using interval notation.)

A: The domain of a function is the possible set of input values where the function is defined.

Q: Suppose

A:

Q: Find the domain of f and write your answer in interval notation. 6x + 13 f(x) = T2 -6x 27

A: fx=6x+13x2-6x-27

Q: Consider the function f(x)=4x2+9 for x≤0. What is the domain of f−1(x)? answer in interval…

A:

Q: Write the domain of the given functions in interval notation:

A: here we have to find the domain of the given functions.

Q: Find the interval notation of the domain

A:

Q: For Exercise, write the domain of the function in interval notation. h(a) = Va – 5 %3D

A:

Q: Write the domain of the function in interval notation.

A: The domain for any function is the values of x-axis covered by the function in its graph. And as per…

Q: Find the domain and express it as an interval

A:

Q: x9 + 7X -3 %3D anction f(x):

A: Explanation of the solution is given below...

Q: Determine the interval on which the functưon is decreasing 20 10 5.

A:

Q: 6+ Write the domain of the function using interval notation.

A: Domain:- All possible value of x

Q: Determine whether the following statement is true or false, and explain why. The function ƒ(x) = x2…

A: The given function is f(x)=x2-6x+4

Q: Write the domain of the function f(x) = arcsin(æ), using interval notation, in the space below.

A:

Q: Provide your answer below: Domain in interval notation is Range in interval notation is

A: This is a problem related to domain and range of the function. Based on the general formula and…

Q: For Exercise, write the domain in interval notation. 4 h(x) : V3 – x — х

A: We can not have negative number under the square root and we can not have 0 as denominator too.

Q: 6. For the function in vertex form, f(x) = 2(x+ 3)² – 5, change to the equivalent standard form by…

A: in multiple question we are allowed to answer only first one .

Q: Indicate if the function is bijective from R to R, f (x) = −3x + 4, justify your answer

A: Given f : R→R, f(x)=-3x+4 Here the function is linear function. f'(x)=-3<0 for all x∈R Which…

Q: Find the domain of the function and express as an interval

A: In the question it is asked to calculate the domain of the function f(x)=x+6-2.

Q: Find the domain and range of f(x) = 3(9x +7)2 – 7. Express your answer in interval notation using…

A: Given: The function is,

Q: How do you find the domain of a function in interval notation?

A: Domain is related to input values .So to find the domain, we have to check the restrictions on the…

Q: For Exercise, write the domain in interval notation. 1 m(x) = 3 + In- Vii – x

A:

Q: Write the domain of the function in interval notation and use that information to graph the…

A: Given,            n(x) =1x + 3

Q: Let f(æ) be the function 10x2 – 6x + 3. Then the quotient f(2+h)-f(2) h can be simplified to ah + b…

A:

Q: The absolute maximum of the function f(x) = 4x? – 13x + 9 over [1, 5]. -

A: Given, f(x)=4x2-13x+9   over  1,5 To find: Absolute Maximum of f(x)

Q: Given the function k (x) = 2x³ – 9x² + 12x + 9. Find the interval when k (x) is concave upward.…

A:

Q: Find the domain in interval notation

A: GivenS(x)=3x2+3x-4

Q: Find Find the domain of (Enter your answer using interval notation.)

A:

Q: Find the inflection points of f(x) = 2x* + 19x³ 15x2 + 11. (Give your answers as a comma separated…

A: Given: f(x)=2x4+19x3-15x2+11

Q: find the points of inflection and discuss the concavity of the graph of the function. f(x)=x…

A: Given, y=x9-x derivate both side  f'(x)=9-x+x29-x9-xf'(x)=18-x29-x3/2

Q: Suppose that the cost C (in dollars) of removing p percent of the particulate pollution from the…

A: We need to solve for C.

Q: flx)= In (x-3) X1-16

A:

Q: Determine domain and range of quadratic function f(x)=-4(x+3)^2-9 answer in interval notation

A:

Q: Give the range of the function in interval notation. F (x) =-3(x+4)2 -5

A: The given function is, F(x) =-3(x+4)2 -5 The graph of F(x) is as shown below :