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mtayab1994
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Homework Statement
f:[1,+∞[→ℝ
x→sqrt(x+2)-sqrt(x-1)
Homework Equations
show that f([1,+∞[)=]0,sqrt(3)]
The Attempt at a Solution
Any tips on how to start it.
Last edited:
mtayab1994 said:Homework Statement
f:[1,+∞[→ℝ
x→sqrt(x+2)-sqrt(x-1)
Homework Equations
show that f([1,+∞[)=]0,sqrt(3))
The Attempt at a Solution
Any tips on how to start it.
well nothing really, i want something that'll help me get going.Ray Vickson said:What have you done so far?
RGV
Deveno said:things to try:
1. calculate f(x) explicitly for a few values of x. i always like 0,1,-1 and 42 (ok, 0,1 and-1 won't work. pick something else. maybe 2,4 and 6)
2. see if lim x→∞ and lim x→1+ exist.
3. see if f(x) has a global maximum or minimum (yeah, derivatives, we can use them, right?)
A polynomial function is a mathematical function that is defined by a finite sum of terms, each consisting of a constant multiplied by a variable raised to a non-negative integer power. In simpler terms, it is an algebraic expression that contains variables and constants, and the operations of addition, subtraction, and multiplication.
To graph a polynomial function, you will need to plot points on a coordinate plane. The number of points you need to plot will depend on the degree of the polynomial. You can also use the leading coefficient, degree, and intercepts to help you graph the function accurately.
The degree of a polynomial function is the highest exponent or power of the variable in the expression. It is also the number of terms in the polynomial.
No, a polynomial function cannot have negative exponents. This is because a polynomial function is defined as having non-negative integer powers on its variables. If it has negative exponents, it would become a rational function instead.
The two main types of polynomial functions are monomials and binomials. Monomials have one term, while binomials have two terms. Other types of polynomial functions include trinomials (three terms), quadrinomials (four terms), and so on. They can also be classified based on their degree, such as linear (degree 1), quadratic (degree 2), cubic (degree 3), and so on.