Some people think of functions as “mathematical machines.” Imagine you have a machine that changes a number according to a specific rule, such as “multiply by 3 and add 2” or “divide by 5, add 25, and multiply by −1.” If you put a number into the machine, a new number will pop out the other end, having been changed according to the rule. The number that goes in is called the input, and the number that is produced is called the output.
You can also call the machine “f” for function. If you put x into the box, f(x),comes out. Mathematically speaking, x is the input, or the “independent variable,” and f(x) is the output, or the “dependent variable,” since it depends on the value of x.
f(x)= 4x + 1 is written in function notation and is read “f of x equals 4x plus 1.” It represents the following situation: A function named f acts upon an input, x, and produces f(x) which is equal to 4x + 1. This is the same as the equation as y = 4x + 1.
Function notation gives you more flexibility because you don’t have to use y for every equation. Instead, you could use f(x) or g(x) or c(x). This can be a helpful way to distinguish equations of functions when you are dealing with more than one at a time.
You could write the formula for perimeter, P = 4s, as the function p(x) = 4x, and the formula for area, A = x2, as a(x) = x2. This would make it easy to graph both functions on the same graph without confusion about the variables.
Answer:
72°
Step-by-step explanation:
The measure of x is calculated by this formula
1/2×(difference of Intercepted Arcs)
1/2 × (252 - 108) = 72°
Answer:
I was being charged for 65 miles
Step-by-step explanation:
Given
Required
Find x when y = 94.75
Substitute 94.75 for y in
Collect Like Terms
Solve for x
<em>I was being charged for 65 miles</em>
The equation of the line in this graph is y = 3/2x + 3.
Explanation:
In slope intercept form equations, the initial value is where everything begins. In this equation, that would be at the point (0,3). From there, because it is going up toward the right side, there is a positive slope. The formula for slope is rise over run, so to get our slope, we have to go up 3 units and over 2 units.
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