The horizontal asymptote is the value at the y-axis where the graph approaches the line but not necessarily touching it. Hence, the asymptotic characteristic of the graph. The standard form of a function in fraction form is y = (ax^n +...)/(bx^m+...). There are rules to follow to determine the horizontal asymptote of a function.
1) if n = m , then the horizontal equation is y = a/b
2) if n>m, then there is no horizontal equation
3) if n<m, then the horizontal equation is the x axis ; y = 0.
The function given falls on the third rule hence the horizontal asymptote of the function is at y = 0.
Answer:
When the price of a good that complements a good decrease, then the quantity demanded of one increases and the demand for the other increases. When the price of a substitute good decreases, the quantity demanded that good increases, but the demand for the good that it is being substituted for decreases.
B because if there are 10 large dogs and that is two times the number of small dogs than there are half as many small dogs as big doge which would mean the equation is D=1/2(10)+10.
Answer:
none of the choices
Step-by-step explanation:
f(x) = 3-x
Let x=-1
f(-1) = 3 - (-1)
= 3+1
=4
f(-1) =4
Answer:
|-3| = 3 and -|-4| = -4
Step-by-step explanation:
The absolute value function changes the sign to positive, if it isn't already. The usual rules of arithmetic and logic apply to these statements.
|-3| = 3 (true) and -|-4| = -4 (true) ⇒ this statement is true
|-3| = 3 (true) and |-4| = -4 (false) ⇒ this statement is false
-|3| = 3 (false) and |4| = 4 (true) ⇒ this statement is false
|-3| = 3 (true) and -|4| = 4 (false) ⇒ this statement is false
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<em>Additional comment</em>
A compound "and" statement is only true if <u>all</u> of the parts of it are true.
