1,744 Answered Questions for the topic Functions

How long will it take to drain the pool once it is filled and only the drain valve is opened?

Emmanuel was told that his pool will fill through an inlet valve in 12 hours. He knew something is wrong when the pool took 20 hours to fill. He found he had left the drain valve open. How long... more

10/16/21

Restricted domain

If the domain of the original function f(x)=x^2+4x-6 was restricted to the left side of the axis of symmetry, what is the correct equation of the inverse? What about the right side and it’s... more
Functions

10/15/21

f(f(x)) = 3x + 2, find f(x)

Functions Calculus Precalculus

10/14/21

Use the given graph to find 𝛿

Use the given graph of f(x) = sqrt(x) to find the largest number  𝛿 such thatif 0 < | x-9 | < 𝛿 then | sqrt(x) - 3 | < 0.2**the graph has points: (?,2.8) (9,3) (?,3.2) Sorry I cannot... more
Functions Calculus Precalculus

10/14/21

Use the given graph to find 𝛿

Use the given graph of f(x) = sqrt(x) to find the largest number  𝛿 such thatif 0 < | x-9 | < 𝛿 then | sqrt(x) - 3 | < 0.2

10/14/21

Algebraic division help

When ax2+3bx+a+2 is divided by (x+2) the remainder is 6, and when bx3 +x2+abx+3b is divided by (x+3) the remainder is 5. What are the values of a and b?
Functions Math Algebra 1

10/14/21

What is the answer?

g (-3) = x2 + 5x
Functions

10/13/21

f(x)=-2|x|+3 what type of function is this

Functions Precalculus

10/11/21

Confused on this function question...

For income x (in dollars), a particular state's income tax T (in dollars) is given byT(x) = 0.028 x if 0≤ x≤ 4,000 112+0.035(x−4,000) if 4,000< x≤ 24,000 812+0.050... more

Let g(x)=-3x2 +ax+1.

Let g(x)=-3x2 +ax+1.Determine the number a such that the tangent line to the curve y=g(x) at the point (4, g(4)) is parallelto the line y=6x+53.what is the value of a?

Let c be a fixed number and consider the function f(x) = x - 2x^3.

Let c be a fixed number and consider the function f(x) = x - 2x^3.simplify the difference quotient f(c+h)−f(c)/h until its deniminator is 1.for all h doesn't equal 0,f(c+h)−f(c)/h = _________

Let f(x)=2−x/1+x. Determine the y-intercept of the tangent line to the graph of f at the point (1, f (1)).

Let f(x)=2−x/1+xDetermine the y-intercept of the tangent line to the graph of f at the point (1, f (1))
Functions

10/06/21

if f varies directly with m, and f = -19 when m = 14, what is f when m = 2

reduce to simplest form
Functions

10/06/21

if f varies directly with m, and f = -19 when m = 14, what is f when m = 2

reduce to simplest form
Functions Integral Calculus

10/04/21

Consider the functions f, g, defined for x∈R.

Consider the functions f, g, defined for x∈R. given by f(x)=e-x sin x and g(x)= e-x cos x(a) Findi. f'(x)iI. g'(x) (b) Hence, or otherwise, find ∫ e-x sin x dx , between π and 0.

10/03/21

Graph the function for the given domain. −2x − 10y = 10 D: {−5, 0, 5, 10}

idk how to do itexplanation pliss
Functions Linear Algebra

09/30/21

Writing equations of lines parallel and perpendicular to a given line through a point

Consider the line 4x+2y=-6.Find the equation of the line that is parallel to this line and passes through the point (4,4).Find the equation of the line that is perpendicular to this line and passes... more
Functions Math

09/29/21

Is 2 = yx + y a function?

If the said equation is not a function then why? Thank you for answering
Functions Math

09/29/21

How does |y|+x=1 not a function?

Functions Math

09/29/21

How does|y|+x=1 not a function?

Functions Precalculus

09/29/21

Find the F o F(x) and G o G(x)

Functions Precalculus

09/29/21

The table below shows values from the function f(x)=b^x. Identify b.

Functions

09/24/21

Take the cube of the input, multiply by 3, add 5, and divide the result by the input.

Write an algebraic formula for f(x) where x is the input
Functions

09/22/21

The height of a soccer ball that has been kicked can be modeled by the function

The height of a soccer ball that has been kicked can be modeled by the functionThe height of a soccer ball that has been kicked can be modeled by the functionh(𝑡) = −5𝑡2 + 20𝑡 + 1 , where h(t) is... more

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