Answer:
Yes
Step-by-step explanation:
It passes the vertical line test, no two points have the same x value.
Answer:
Step-by-step explanation:
w= 1
/4 or w= −1/
2
This is an equation that calculates potential energy and converts the value into its commercial unit.
<u>Step-by-step explanation:</u>
Step 1:
Given equation is 2 kg × 9.81 m/s² × 40 m. From the units, find the corresponding measurements. kg is the unit of mass (m), 9.81 m/s² is the acceleration due to gravity (g) and m is the unit of length or height (h).
This shows that this equation is to find potential energy. It is then converted into the commercial unit of energy (Joules).
⇒ Potential Energy = mgh = 2 kg × 9.81 m/s² × 40 m
= 784.8 kg m²/s²
= 784.8 N-m (Since unit of force, 1 N=kg m/s²)
= 784.8 J (1 Newton-m = 1 Joule)
Answer:
g (x) = 2 ^ (x + 2)
Step-by-step explanation:
For this case the transformation of f (x) is given by
g (x) = 2 ^ (x + 2)
To prove it, we must verify that equality is met by replacing the ordered pairs shown in the function g (x)
For (-2,1)
g (-2) = 2 ^ ( -2 + 2)
g(-2)=1
For (-1,2)
g (-1) = 2 ^ ( -1+ 2)
g(-1)=2
For (0,4)
g (0) = 2 ^ ( 0+ 2)
g(0)=4
9514 1404 393
Answer:
- there are no points higher than a maximum; no points lower than a minimum
- average rate of change is the slope of a straight line connecting the points of interest.
Step-by-step explanation:
1. A point on a graph is a maximum if there are no points on the graph that are higher.
A point on a graph is a minimum if there are no points on the graph that are lower.
Sometimes you're interested in a "local" maximum or minimum. In that case, the "no points higher/lower" rule refers to points in the immediate vicinity of the one of interest.
Sometimes you're interested in a maximum or minimum on an interval. In that case, the rule applies to points contained within the interval. (The maximum or minimum may be at the end of the interval.)
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2. Average rate of change is defined over some interval. That is, you are given the end points of the interval of interest. The average rate of change is the slope of a straight line between those end points. The slope formula applies:
