Answer:
f(3π/4) = -π
A = π
b = 2
Step-by-step explanation:
Given that the function follows the form: f(x) = A sin(bx), then f(0) = 0. Given that the period is π, then at x = π/4 the function reaches a maimum, at x = π/2, f(x) = 0, and at x = 3π/4, f(x) reaches a minimum, which have to be π*(-1) = -π
Given the general equation: f(x) = A sin(bx), its period is calculated as:
period = 2π/b
which is equal to π, then:
2π/b = π
b = 2
Replacing x = π/4 into the equation of the function, we get:
A sin(2(π/4)) = π
A sin(π/2) = π
A = π
Answer: 
Step-by-step explanation:
We write a function f(x) which gives the values of the function that are dependent on the independent variable "x".
Given: The number of miles on the odometer can be represented by the equation y = x + 40, 000, where y is the number of miles on the odometer, and x is the number of miles you have driven it.
Here y is dependent on x, so we replace y by f(x), then we get
which is the required answer.
Answer:
x=-10
Step-by-step explanation:
3x-4(2+3x)=82
3x-(4*2)+(4*3x)=82
3x-8-12x=82
-9x-8=82
-9x-8+8=82+8
-9x=90
-9x/-9=x
90/-9=-10
x=-10
Question 36.
Given the function:

Let's graph the function.
Let's graph the function using desmos, then label the following:
• 1. Points of inflection
,
• 2. Critical points
,
• 3. Local extremes
• 4. Asymptotes
• The inflection points are the points the function changes concavity.
,
• The local minimum is the point where the minimum value is obtained.
,
• The critical point is the point the function changes direction.
• There is no vertical or horizontal asymptote.
ANSWER:
• The inflection points are the points the function changes concavity.
,
• The local minimum is the point where the minimum value is obtained.
,
• The critical point is the point the function changes direction.
• There is no vertical or horizontal asymptote.