Write a function rule for "The output is 2 less than six times the input." Use x for the independent variable and y for the dependent variable. y =

Q: Write a function rule for "The output is six times the input x." y =

A: We use the given condition to write a function rule.

Q: Determine whether the equation x2 + y = 25 defines y as a function of x.

A:

Q: Differentiate the function.

A:

Q: Write an equation for a function g(x) that has the shape of f (x) = x but is shifted left %3D 5…

A:

Q: Write a function rule for "The output is three less than the input x ." y=ロ

A: The given information contains two variables x and y in which we have to devise the equation in…

Q: Decide whether ƒ, g, or both represent one to-one functions.

A:

Q: Differentiate the function. B(y) = cy-3 B'(y) =

A: Given function

Q: Describe the domain and range of the function. F(x, y) = 6x2 – y

A: f(x,y) =6x2-y Domain = x,y: x is any real number, y is any real number

Q: 27. Differentiate the function. y = √x² + 2x y' =

A: 27. Differentiate the function. y = √x² + 2x y' =

Q: 2. Determine whether the given expression is a function or relation y = x2 b. x = а.

A:

Q: Differentiate the function. y = 76-z² y' =

A: Given, The function  y = 76-x2 We have to differentiate the function

Q: Determine whether the equation x2 − y = 9 represents y as a function of x.

A: The given equation is;  x2-y=9   ...................(1)

Q: Differentiate the function. y = (x3 + x)/(x2 - x)

A: Here we have to differentiate the function;  y=(x3+x)(x2-x)

Q: Write a short statement that expresses a possible function between the given variables. (weight of a…

A: Given variables are weight of a bag of grapes,price of the bag of grapes.

Q: Differentiate the function with respect to the independent variable. 9 h(t) = -t²- +4 h' (t) =

A:

Q: Determine whether y is a function of x x2 + y2 = 16

A: To Determine: y is a function of x2+y2=16 Concept: A function f:A→B is a relation for which each…

Q: . Determine if the equation defines y as a function of x: x = y² + 12. Justify you answer.

A:

Q: State the function and the number: f(x) = a =

A:

Q: Describe the domain and range of the function. f(x, y) = 8x2 – y

A:

Q: Differentiate the function. y% = (5x + 1)5

A: If y=ax+bn, then dydx=na(ax+b)n-1 (By using chain rule)

Q: Differentiate the function. 4 y = 7e* + y' =

A: Given, The function is y=7ex+4x3

Q: Differentiate the function.  S(R) = 4 pie R2

A: S(R)=4πR2To do:Differentiate

Q: Use the table to write a linear function that relates -3 y 3 7 9 %3D

A: To find A linear function that relates y to x.

Q: Write the linear function that is represented in the following table. 3 f(x) 11 3 -1 H7

A:

Q: evaluate the function for the value.

A: To Determine: evaluate the function for the value  Given: we have h(-4) Explanation: function is…

Q: Determine whether the equation defines y as a function of x. x^3+y^7=7

A: We first try to solve the equation for y

Q: Write a linear function that relates y to x . y 3 2 1. 2 3 4 5 x

A: we know that a straight line given by formula y-b=m(x-a) where m is slope of line

Q: y (1, 1) 1 2]

A: Write as a piecewise function

Q: Refer to the function f = {(-2, 4), (-4, 8), (5, 2), (0, 9)}. For what value of x is f(x) = 4?

A: f = {(-2, 4), (-4, 8), (5, 2), (0, 9)} We need to determine For what value of x is f(x) = 4?

Q: Use the graph to write a linear function that relates y to x. 10 4 -6-4 2. 4 6 x 2 y = %3D

A: To find A linear function that relates y to x.

Q: Write a short statement that expresses a possible function between the given variables. (weight of a…

A: Given variables are (weight of a bag of grapes,price of the bag of grapes)

Q: Differentiate the function. y = 3 + X y' =

A:

Q: Complete the table of values for the function y=x^3+4.   x y  −3   −2   −1   0   1   2   3

A:

Q: Write a function rule for "The output is 5 less than four times the input." Use x for the…

A: We use the given condition to find the function rule.

Q: Write a rule for a linear function y = h(x), given that h (-1) = 9 and h (-2)= -1. Write your anwer…

A: To determine the expression h(x) =Ax+B (linear function, first degree) satisfying the given…

Q: Determine which equation does not define y as a function. Oy = - Vx+4 O 2x + y = 8 O 2x + y = 6 O…

A:

Q: Write a function rule for "The output is eleven more than the input x ." ア=

A: We need to write the function rule for the following : " The output is eleven more than the input x…

Q: Differentiate the function. 5V1 - x y = y' =

A:

Q: + 15лу + 49у —", - 49y

A:

Q: decide if the function is linear y=2x-2

A: We have given an equation

Q: Differentiate the function y = -5e".

A: Given that, the function is y=-5e0. In order to find the derivative of y=-5e0, simplify the function…

Q: Differentiate the function. y=7√1-x³/ 3  y' =

A: Using chain rule of derivative,

Q: 1 3 5 f(x)

A:

Q: Differentiate the function. y = Vx(x - 14) y' =

A: Find the derivative

Q: Write a linear function that relates y to x. x 0 1.5 3 4.5 y 5 4 3 2.

A: See the attachment

Q: Write a function rule for the total cost in dollars of gasoline if y gallons of gasoline for $4 per…

A: The y gallons of gasoline for $4 per gallon

Q: Determine whether the equation x2 + y2 = 25 defines y as a function of x.

A: Given equation x2+y2=25 Solve the above equation, we get x2+y2=25y2=25-x2y=±25-x2 In the above…

Q: Determine whether the equation x2 + y = 16 defines y as a function of x.

A: Given: x2+y=16

Q: Determine whether the equation x + y2 = 5 defines y as a function of x.

A: Our Aim is to determine whether the equation x+y2=5-(i) defines y as a function of x.