1,744 Answered Questions for the topic Functions

Functions Math Trigonometry

12/02/21

Math trigonometry question, please help.

Rianne draws two points, one at (− 8√3, 8) and the other at (4, 4√3). She then draws line segments from the origin to each point. Using radian measure for all angles, find the exact value for the... more
Functions Math Trigonometry

12/02/21

TRIG Question: Advanced Functions Grade 12

Rianne draws two points, one at (− 8 √3, 8) and the other at (4, 4√3). She then draws line segments from the origin to each point. Using radian measure for all angles, find the exact value for the... more

11/29/21

Relation Maths Question

Prove that the relation ℝ ={(a,b) | a divides b} {Z}^+ is not an equivalence relation. ( 4 marks )
Functions

11/27/21

Annual Decay Functions problem

A town has a population of 13500 in 1986. Fifteen years later its population shrunk to 7,668. Determine the average annual decay rate of this town's population
Functions

11/27/21

please help solve this problem

g(x) + j(x) if g(x) = −3x + 1 and j(x) = 2x + 9

11/21/21

I wish I could show a picture this is for parabolas and quadratics

So I have the given the points (-5,0) (-3,-1) and (9,0) I'm asked to use the given roots and point to find the equation as in f(x)=a(x-h)+k. There is no given vertex or a value so I'm not sure how... more

11/17/21

A function f(x) and interval [a,b] are given. Check if the Mean Value Theorem can be applied to f on [a,b].

A function f(x) and interval [a,b] are given. Check if the Mean Value Theorem can be applied to f on [a,b]. If so, find all values c in [a,b] guaranteed by the Mean Value Theoremf(x) = √ (9 - x2) ... more

11/17/21

Determine the intervals on which the given function is concave up or down and find the point of inflection

Determine the intervals on which the given function is concave up or down and find the point of inflection. Let f(x) = x(x−4√x)The x-coordinate of the point of inflection is: ____The interval... more

11/17/21

A cylindrical can, open at the top, is to hold 470 cm^3 of liquid. Find the height and radius that minimize the amount of material needed to manufacture the can.

A cylindrical can, open at the top, is to hold 470 cm^3 of liquid. Find the height and radius that minimize the amount of material needed to manufacture the can. Enter your answer with rational... more
Functions Calculus

11/16/21

Consider the function 𝑓(𝑥) = 12𝑥^5 + 30𝑥^4 − 160𝑥^3 + 4

a. Find the inflection points. b. Find the intervals where the graph of the function is concave up. c. Find the intervals where the graph of the function is concave down.When I first tried this... more

If x2+y2=64 and dx/dt=5, find dy/dt when y is positive and

If x^2+y^2=64 and dx/dt = 5, find dy/dt when y is positive and...a) x=0b) x=1c) x=4

11/14/21

How is this equal to one?

√(x+Sx)-√x limSx→0 sin ( 2 ) = 1 (How is this equal to one?) √(x+Sx)-√x ... more

11/13/21

How to evaluate this limit?

((((((((https://drive.google.com/file/d/1I7an_KPDQdQ1hcOiBluEnMFNLoQk35dw/view?usp=drivesdk)))))))How is that equal to 1.
Functions

11/12/21

Given that f(x) x+3 and g(x) =4x+1 determine fg(-6)

Functions Algebra 2

11/11/21

Let f(x)=√ 5 − x + 7 . Determine f ^− 1 ( x ) and the domain of f^ − 1 ( x ) . Determine f^-1(x) and the domain of f^-1(x)

Let f(x)=√5−x+7 (The square root is over -x ). Determine f^−1(x) and the domain of f^−1(x).
Functions Algebra 2

11/11/21

Graph y= 2(1/2)^(x+2) -4

y= 2(1/2)(x+2) -4
Functions Algebra 2

11/11/21

Graph y= 2(3)^(x-1) -7

y=2(3)(x-1) -7
Functions

11/11/21

Functions question (not so sure how to find the answer)

Given that f(x)=x+2 g(x)=3/xCalculate the value of x so that f(x)=g(x)
Functions Algebra 2

11/08/21

Let f ( x ) = x + 3/x+8 What is f^-1(-1)

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