1,748 Answered Questions for the topic Functions

Functions

10/13/18

What is the range of function f(x)=x(x^2-1)÷x^4-x^2+1
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Functions

10/12/18

Functions find (f⋅g)(x) and (f⋅g)(0)
For the functions f(x)=x^2−x+3 and g(x)=3x^2−10x−5, find (f⋅g)(x) and (f⋅g)(0).
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10/11/18

Calculus Question
Suppose f is continuous on [0,8] and the only solutions of the equation f(x)=2 are x=1 and x=7. If f(3)=-14, explain why f(5)<2
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10/07/18

PLEASE HELP! k(x)+2x+ 4. find the value(s) of x that make(s) k(x)=-14
i am completely lost on what steps to take for this. I have a ti-84 calculator for equations, etc if needed. thanks in advance
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Functions

10/03/18

How to find the zeros in a function
f(x)=3x-21
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Functions Calculus Derivatives

10/01/18

Find the derivative of the function (PLEASE HELP)
L(t) = -2.3 + 0.24t + 0.0027t^2   Question: Find dL/dt for 18 ≤ t ≤ 38, using the limit definition of the derivation and then using differentiation rules. 
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Functions

09/26/18

how do i Find x for f(x) = -6x + 7 when f(x) = 61
i have no clue what to due and have a test tommorow
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09/25/18

When substituting a variable in a term with an exponent, how do I write and solve it?
IE: -2x^2 Do I do: -2(x)^2, -2(x^2) or (-2x)^2 I say this because of a problem I have that says "h(x)=-4x^2 -2x+5"
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Functions Exponents

09/24/18

what is the value of f(f(-2))?
for all x, let f(x) be defined by f(x)=x^2+2x+3
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Functions

09/24/18

what is the value of h(g(x)) when x=2?
 g(x)=3x-17 and h(x)=x^2+17
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09/24/18

Calc 1 Help! For a certain graph y=f(x) the tangent line at the point (2,f(2)) goes through the points (3,2) and (5,-4). Find f(2) and f'(2)
I am unsure of how to do this problem or even set it up. I didn't know whether to find the slope of the two points or not and was wondering if one of you all could help me. I would really... more
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Functions

09/24/18

Describe the transformations applied to the base parent function y=x^3 to obtain the function y=-1/3(x+2)^3-1, and then graph the function
I'm very stuck on this question and I'm not sure how to graph this function.
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09/21/18

Finding the inverse
If f(x)=ln(9x+b), find f^−1(x) in terms of b.
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Functions

09/21/18

Demonstration for one-to-one function
Show that f is a function one-to-one, if and only if f(x) = 0 for x=0.I cannot solve this demonstration, I know that if both elements are the same and their functions are the same, then is one to... more
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Functions

09/20/18

Graph the relation. Is the relation a function? Why or why not? {(-1, 1), (-2, 1), (-2, 2), (0, 2)}
Graph the relation. Is the relation a function? Why or why not? {(-1, 1), (-2, 1), (-2, 2), (0, 2)}
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Functions Graph

09/18/18

f(x) = x- 5 translate 4 units to the left
How do you translate the graph 4 units to the left 
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09/17/18

Domain and Range
A=((450-3x)/2))w   Determine the domain and range of this area function. Determine the dimensions that give the maximum area. Please help me solve this step by step.
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Functions Math

09/13/18

Function Notation
As a mental arithmetic exercise, a teacher asked her students to think of a number, triple it, and subtract the resulting number from 24. Finally, they were asked to multiply the resulting... more
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09/13/18

Function Notation
For f(x)=1/2x, determine f(1)-f(3). I want to know how to do this step by step.
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Functions

09/12/18

What is the x intercept for the equation 5x-2y=-4
Answers are A(-4/5,0) B(-2,0) C(2,0) D(4/5,0)
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Functions Math

09/10/18

Functions or not
The relation between earnings and sales if Olwen earns $400 per week plus 5% commission on sales.   Determine if this relation is a function.
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Functions Math

09/10/18

Function or not
Substitute -6 for x in each equation and solve for y. Use your results to explain why y=x^2-5x is a function and x=y^2-5y is not.I need help solving x=y^2-5y.
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09/07/18

Compute the domain of the function
Compute the domain of the function f(x)= ax−15 in terms of a. Assume a>0. Answer with an interval, i.e. [0, infinity), or unions of intervals, i.e. (-infinity,1]U(6,9), or answer simply with an... more
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09/07/18

Find the values, if any for where f/g is undefined.
let f be a function that is defined everywhere and let g(x) = 25x+b with b ≠ 0. Find in terms of b, the values of x, if any, for which the function f/g is undefined. 
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09/07/18

Find the function
if the function h(x)=(x−8)4 is expressed in the form f∘g with f(x)=x^4, then find the function g(x)
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