A function is a relationship with a quantity (number). For example, if you made a table, and had one side be 1 2 3 4 5 (X axis) and then the y axis (other side) be 5, 10, 15, 20, 25, the function (rule) would be y= x5. The vertical line test is used to see if a graph has a function or not, so if it creates a vertical line on a graph, it has a function.
A real life situation would be miles per hour, so, for the x axis (hours) it said 1, and for the y axis (miles) it would be 60, this means in a duration of 1 hour you went 60 miles. Well, lets say you went 2 hours driving, the miles would be 120.
For 3 hours, it would be 180. The function here is y= x60!
If you have any questions ask me!
Answer:
The solution is x = e⁶
Step-by-step explanation:
Hi there!
First, let´s write the equation
ln(x⁶) = 36
Apply logarithm property: ln(xᵃ) = a ln(x)
6 ln(x) = 36
Divide both sides of the equation by 6
ln(x) = 6
Apply e to both sides
e^(ln(x)) = e⁶
x = e⁶
The solution is x = e⁶
Let´s prove why e^(ln(x)) = x
Let´s consider this function:
y = e^(ln(x))
Apply ln to both sides of the equation
ln(y) = ln(e^(ln(x)))
Apply logarithm property: ln(xᵃ) = a ln(x)
ln(y) = ln(x) · ln(e) (ln(e) = 1)
ln(y) = ln(x)
Apply logarithm equality rule: if ln(a) = ln(b) then, a = b
y = x
Since y = e^(ln(x)), then x =e^(ln(x))
Have a nice day!
The degree is 3.
This video explains it pretty well: https://virtualnerd.com/pre-algebra/polynomials-nonlinear-functions/polynomials/monomial-polynomial-degrees/polynomial-degree-definition
Hello there! 9+7=16. I hope this helps!
