1,748 Answered Questions for the topic Functions

10/08/17

Rate of Change
Find the average rate of change of f(x)=3/x+1 on the interval [x,x+h]. Simplify your answer.
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10/07/17

A question relating to function
Let f(x)=√x and g(x)= 3x+b. What is the value of b if we know that the graph f(g(x)) passes through the point (4,8)
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Functions

10/02/17

There was a sample of 600 milligrams of a radioactive substance to start a study. Since then, the sample has decayed by 7.9% each year. Let t be the numbe
I need help with this problem>>>  There was a sample of 600 milligrams of a radioactive substance to start a study. Since then, the sample has decayed by 7.9% each year.Let t be the... more
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09/30/17

Intuition on horizontal stretches and compressions of graphs
Given f(x)=af[b(x-h)]+k, why does the graph stretch horizontally by a factor of 1/b, but not by a factor of b?
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09/27/17

if the functions f, and h are defined by f(x)=3x - 5, and h(x)= 3x^2-11x+10, write a formula for f/h
how to solve this type of function form when there's an exponent....
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Functions Roots Zeros

09/27/17

find a polynomial function that has these zeros
5 and 3-2i
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Functions Zeros Finding Roots

09/27/17

find a polynomial function that has these zeros
4 and -3i
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Functions Transformations

09/23/17

Converting to standard form function notation
2(y+2)=f(-x) to y=f(x), or isolating y.   If I start by dividing 2 on both sides, does it only account for the y value?
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Functions Addition

09/22/17

determine (20f+3g)(-2) if...
f(x)= (6x+4)/4 g(x)=6x+8   can i multiple f(x) by 20 and g(x) by 3, add them and then evaluate at x=-2? is -52 the answer?
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09/21/17

Difference Quotient 2
Let f(x) = -2x-4. Find the difference quotient f(x+h)-f(x)/h. Simplify your answer.
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09/21/17

Difference Quotient
Let f(x) = 4 + 7 x -x^2. Find the difference quotient f(5+h)-f(5)/h. Simplify your answer.
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Functions

09/20/17

The equation x^2+(k+2)x+2k=0.
The equation x^2+(k+2)x+2k=0 has two distinct real roots.  Find the possible values of k. 
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Functions

09/20/17

Let f(x) = 3x^2 - 6x + p
Let f(x) = 3x^2 - 6x + p. The equation f(x) = 0 has two equal roots.  Write down the value of the discriminant.  Hence, show that p = 3. The graph of f has its vertex on the x-axis. The... more
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Functions

09/19/17

Let f(x)= 3x/x-q where x does not equal q.
Let f(x)= 3x/x-q where x does not equal q. Write down the equations of the vertical and horizontal asymptopes of the graph of f. The vertical and horizontal asymptopes to the graph of f intersect... more
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09/18/17

Write the equation for the final transformed graph
Let f(x)= x2. Write the equation for the final transformed graph if the following transformations areapplied to f: stretch vertically by a factor of 2; shift downward by 5 units; shift right by 4... more
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Functions Function Rules

09/18/17

Is x=-3 a function
I need to know if x=-3 is a function or not. I also need to know why it is or isn't.
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Functions Calculus

09/18/17

Suppose f and g are even functions with ​f(2​)=2 and ​g(2​)=−2. Evaluate ​f(g(2​)) and ​g(f(−2​)). f(g(22​))=
Calculus 1.1.3
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Functions

09/17/17

Write a rational function f that has the specified characteristics.Vertical asymptote: x = −1, x = 1 Horizontal asymptote: y = 5 Zeros: x = 5, x = −5
help to write function
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Functions

09/17/17

Write a rational function f that has the specified characteristics. (There are many correct answers.) (a) Vertical asymptote: x = 1 Horizontal asymptote: y = 0
need help to solve
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Functions

09/15/17

Suppose that the functions q and r are defined as follows
Suppose that the functions q and r are defined as follows   q(x)=-2x+1 r(x)=-5x-4   Find the following   (qºr)(1) (rºq)(1)                      
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Functions

09/14/17

Suppose that the function g is defined, for all real numbers, as follows.
Suppose that the function g is defined, for all real numbers, as follows.   g(x)= -4 if x ≠-2          -2 if x =-2     Find g(-4), g(-2), and g(3)
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09/14/17

Evaluate the function at the indicated values. (If an answer is undefined, enter UNDEFINED.)
k(x) = −x2 − 5x + 6   A.) k(√5) B.) k(a + 5) C.) k(−x) D.) k(x2)
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Functions

09/13/17

f (x)= 1 4) (2 3) (5 8) (4 7) is f-1 (x) a function and why?
It's for a class thanks for the assistance 
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09/12/17

Write piecewise function T(x), then calculate T(2), T(3), and T(5)
A hotel chain charges $75 each night for the first two nights and $50 for each additional night’s stay. Thetotal cost function T is a function of the number of nights x that a guest stays. Write... more
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Functions Quotient

09/11/17

Suppose that the functions g and f are defined as follows.
Suppose that the functions g and f are defined as follows.   g(x)=(6+x)(3+x) f(x)=-1-2x   A. Find (g/f)(-2) B. Find all the values that are NOT in the domain of g/f      
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