For each of the following equations, determine whether y is a function of x.

Q: y is a function of x, but the function is not one-to-one

A: In the table notice that −2→12 and 6→12.

Q: Find the value f(a+h) for the function f(x)=9

A: Here is given function is f(x)=9 Here is f(x) is constant function

Q: If f(x) = 21, find f'(0).

A: Differentiation: - Differentiation is that the pace at that one amount changes in relevance another.…

Q: Select all of the following equations for which y is a function of x. Ox + 3y = 3 Oa = y' + 3y O2? +…

A:

Q: For each of the following equations, determine whether y is a function of x. 3 Function O Not a…

A: By the definition of function: A function is a relation in which each input has only one output.…

Q: Which of the following tables which represent y as a function of x

A: To find out tables which represent y as a function of x To become a function, x value does not have…

Q: If f is a function defined by the equation y = f(x), then xis called the _______variable, and y is…

A: If f is a function defined by the equation y = f(x), then xis called the _______variable, and y is…

Q: Given that f(r) = b for b > 0, determine the values of b that will make the function f an increasing…

A:

Q: Which of the following represents y as a function of x?

A: The following represents y as a function of x is

Q: Given the function f(x) =

A:

Q: Find y as a function of x if

A: The given differential equation y'''-4y''-y'+4y=0D3-4D2-D+4=0D+1D-1D-4=0D=-1, 1, 4

Q: For each of the following functions, find ∂z/∂x and ∂z/∂y. (b) z = x/y2 - y/x2

A: To find ∂z/∂x and ∂z/∂y. (b) z = xy2-yx2

Q: Find y' of the following functions:

A:

Q: For each of the following equations, determine whether y is a function of x. x = 3y + 3 O Function O…

A: x=3y2+3               O  Not a function      x=12y2                   O Not a function…

Q: Differentiate the expression with respect to x, assuming that y is implicitly a function of x. ( x2…

A: It is given that y is implicitly a function of x. =x2+y23/2 differentiate with respect to x

Q: Which of the following functions is odd? y=x^3-2 y=2x-1 y=x^3-x y=x^4-x^2 y=x^4-x^3

A:

Q: Identify the parent function f(x) and write an equation for the function given

A:

Q: Find the domain of the following function y(x)=2In(x-1)

A: The given function is: y(x)=2ln(x-1) To find the domain of the function.

Q: For each of the following, determine whether the equation defines y as a function of x. x + 5y 4 O…

A: a. x2+5y=4 5y=4-x2y=4-x25 It is a function . b.x2+y2=1 x2+y2=1y2=1-x2y=±1-x2 It is not a function.…

Q: Plot the following functions y = (x – 1)3 + 2

A:

Q: Determine whether the equation defines y as a function of x. y = 1/x

A: Given y=1x

Q: For each of the following equations, determine whether y is a 2. x = 3y + 3 Function O Not a…

A: As per Bartley guidelines only first three subparts are to be solved. Please upload other subparts…

Q: For the function y = f(x), find f'(a)

A: Here we have, f(x)=x2+5x+2; a=-3 We have to find f'(a)=?

Q: For each of the following, determine whether the equation defines y as a function of x. 5x = y O…

A: Given,         To determine whether the equation defines y as a function of x.

Q: For each of the following equations, write whether they are functions (i.e. if settingf(x)…

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Q: Consider the following function: y = x²*. ||

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Q: If 10x³y* + e*Y = 5 defines y implicitly as a function of x, find y.

A: Using derivatives of implicit function.

Q: For each of the following equations, determine whether y is a function of x. x = 3y + 3 O Function O…

A:

Q: For the function f(x) = x2 + 3? and ℎ ≠ 0, evaluate (f(a + ℎ) − f(a))/h

A: f(x) = x2 + 3

Q: Graph the function f:R→Z, f (x) = 3

A:

Q: For each of the following functions, f(0), find f(1), ​and ​f(5).

A: Follow the procedure given below.

Q: Find the domain and range of the following function * x+1 y = х — 1 -

A: the given function isy=x+1x-1to find domain and range of y

Q: Find the two functions f and g such that:

A:

Q: . For each of the functions, determine whether thefunction is concave up or concave down.a. y = x5/4…

A: Here we have to determine whether thefunction is concave up or concave down. (a) y=x5/4 (b) y=x4/5…

Q: For each function, determine whether Y varies directly with x. If so, find the constant of variation…

A: Given,           The table of values is shown below :                            x…

Q: For each of the following equations, determine whether y is a function 1 2 I = 31 Function O Not a…

A: Here, we have to determine whether y is a function or not.

Q: For each pair of functions, find f(g(1)), g(f(1)), (ƒ ° g)(x) and (g ° ƒ) (x)., find ƒ(x) = x2 - 1…

A: Given: The functions fx=x2-1, gx=-2, To find: fg1, gf1, f∘gx, g∘fx.

Q: Determine whether the following equation defines y as a function of x. x? +y? = 144 Does the…

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Q: If f(x) = q(x)g(x) + r(x), the function r(x) is called the ______ .

A: Solution:GivenIf f(x) = q(x)g(x) + r(x), the function r(x) is called the ______ .

Q: Identify the equation that defines y as a function of x (a) x+(y-1)² = 3 (b) x2-y 3xy (c) 3x+5y = 1…

A: (a) x + (y-1)^2 =3       this equation gives two value x (b) x2 - y2=3xy    it also give two values…

Q: For each of the following equations, determine whether y is a function of x. 3. y=-x Function O Not…

A: Since you have multiple questions, we will solve the first two questions for you. If you want any…

Q: Find functions f and g so that fo g = H. H(x) = (8x + 1)4

A:

Q: For each of the following, determine whether the equation defines Y as a function of X.

A: We have to consider the given condition is function or not

Q: For each of the following relations, sketch the graph of the relation and its inverse, andwrite an…

A: Given  The equation is y=x2+1 .

Q: Find f(x) for the following. f(x) = — тх + b.

A: Differentiate wrt x

Q: Which of the following equations DOESN'T define y as a function of x ? Select one: O y=x³+2 O…

A: To find the equation which doesn't define y as a function of x

Q: For the function f(x) = x` find f"(x), f'(0), f"(1), and f"(- 1).

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: