f(-1) = -11 and f(3) = -3 . these functions are true .
What does a math function mean?
- A relationship between a group of inputs and one output each is referred to as a function.
- A function is an association between inputs in which each input is connected to precisely one output.
- A domain, codomain, or range exists for every function. f(x), where x is the input, is a common way to refer to a function.
- In mathematics, a function is an expression, rule, or law that establishes the relationship between two variables (the dependent variable).
given function f(x) = 2x - 9
f(-1) = -11 ⇒ x = -1 put in function
f( -1 ) = 2 * -1 - 9 ⇒ - 11
f(2) = 5 ⇒ x = 2 put in function
f( 2 ) = 2 * 5 - 9 = 1
f(3) = -3 ⇒ x = 3 put in function
f ( 3 ) = 2 * 3 - 9 = -3
f(-3) = 15 ⇒ x = -3 put in function
f( -3) = 2 * -3 - 9 = - 15
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Answer:
x=π/2 ,3π/2
Step-by-step explanation:
cot x(csc x+1)=0
either cot x=0
tanx=∞=tan (π/2)
x=π/2
or csc x=-1
or sin x=-1=-sin (π/2)=sin (π+π/2)=sin (3π/2)
x=3π/2
So, here we have an exponential function.
Remember that an exponential function has the form:
Where a represents an initial amount, and r is the rate of this amount to change. (Increase, or decrease).
So, given that the population of City A in 2000 was 40 thousand people and the population increased by 13% each year, we can say that
So,
For city B:
But something different happens with city C. This is not an exponential function, this is a linear function.
So,
