om a 9-cm by 9-cm piece of cardboard, square mers are cut out so that the sides can be folded up xị make a box. Complete parts a through c below. ..... Height = x (Do not factor.) ince the formula for the volume of a box is V= length xwidth x height, the function V that represents the volu the box in terms of x is V= (9- 2x) (9 - 2x)x (Do not simplify.) Find the domain of the function. ecall that the length, width, and height will always be positive. So, 9-2x>0 and x> 0.

Q: Define the term linear functions?

A: A function of the form f(x)=ax+b is called a linear function. Where a and b are real numbers.  A…

Q: III. As part of boosting your health this time of the pandemic, you ask your parent if you could…

A: Note: A piecewise function is a function defined by multiple sub-functions each of which applies to…

Q: Given: f(x) = x + 4 9(x) = x² (f o g)(3) = Ex: 15

A: we are given    f(x)=x+4           g(x)=x2 we need to fin the value of (f∘g)(3)

Q: (x)%3D-2x+ 1; Find f(-7)

A:

Q: For what value of x is g(x) = - 5? 12 10 -to 8 6 9(x)

A:

Q: a. a Yes or No (circle one) Explain: 8. Domain Range b. {(2,-1).(-7,5).(3,6),(-4,5),(0,9)} Yes or No…

A: Given,  Relation in part (a) and (b) We have to identify as function and to find domain and range .…

Q: 1 point Would the following data represent a function? y 4 3 3. 3. O Function Not a Function 5.

A: definition of a function is: a relation from a set of inputs to a set of possible outputs where each…

Q: Consider a function ƒ : R³ -> R³ 2x1 + 7x2 - 9x3 ƒ(|x₂|) = ON x1 - 5x2 + 2x3 x2 + 3x3 x1 x3 Is the…

A: A function f(X) that satisfies the superposition principle is called a linear function.…

Q: b) Differentiate between the domain and range of your function.

A: Topic  =Functions

Q: 3. Explain how you would graph f(x) = -2(34x-20)-6. Include the graph as part of your solution.

A: To plot a graph use the calculus rules: 1. f'(x)>0 (<0) implies f(x) is increasing…

Q: The number of emails sent by a teacher during weekend is an example of continuous variable Discrete…

A:

Q: the type of function

A: Given, x 0 2 4 6 y 3 6 12 24 To determine the type of function

Q: f(x) = 4x - 3 g(x) = 5x2 – 2 %3D f° g)(x) b. (g°f)(x) (f° g)(2) a. С.

A: Given: fx=4x-3 & gx=5x2-2 Part a; f∘gx=f5x2-2f∘gx=45x2-2-3f∘gx=20x2-8-3(f∘g)(x)=20x2-11 Part b:…

Q: 1.7 tice B B continued For use with pages 42-48 Trite a rule for the function represented by the…

A:

Q: The function

A: Given function - f(x, t) = 12πte-x24tf(x, t) = 12πe-x24ttDifferentiating with respect to t - f'(x,…

Q: it a function

A:

Q: What is linear property of the mathematical function?

A:

Q: How to find the derivite of a function?

A: To explain how to find derivative of function:

Q: ind the following values for the given fur f(x) = 2x² +3 and g(x)= 4x +1 a) (f+g)(x)=

A: Given functions are  fx=2x2+3 and gx=4x3+1find f+gx

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.