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1. What is a function?
"In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x2<span>."
</span>2. What is the difference between a linear and non-linear function?
"The equation of a linear function has no exponents higher than 1, and the graph of a linear function is a straight line. The equation of a nonlinear function has at least one exponent higher than 1, and the graph of a nonlinear function<span> is a curved line."
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<span>3. Constant Interval, and how does it appear on a graph
</span>Definition:
"Determine the intervals on which a function is increasing, decreasing or constant<span> by looking at a graph. Determine if a function is even, odd, or neither by looking at a graph. Determine if a function is even, odd, or neither given an equation."
How does it appear on a graph?
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"Functions can either be constant, increasing as x increases, or decreasing as x<span> increases."
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<span>4. Identifying the rate of change
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Yes, you can:
"Consider the line y = 2x + 1, shown at the right. Notice that this slope will be the same if the points (1,3) and (2, 5) are used for the calculations. For straight lines, therate of change<span> (slope) is constant (always the same). For every one unit that is moved on the x-axis, two units are moved on the y-axis."
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<span>5. Determining if it is a linear function or not
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"A linear function<span> is in the form y = mx + b or f(x) = mx + b, where m is the slope or rate of change and b is the y-intercept or where the graph of the line crosses the y axis. You will notice that this </span>function<span> is degree 1 meaning that the x variable has an exponent of 1."
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THAT IS IT!! YAY!!! HOPE THIS HELPED ON YOUR REVIEW!!
-Jina Wang, from Middle School
6.
a. P(2 or 4) is the probability of rolling either a 2 or a 4 on the die.
P(2 or 4) is equal to P(rolling a 2) + P(rolling a 4)
1/6 + 1/6 = 2/6 = 1/3
b. P(greater than 2) is equal to P(3) + P(4) + P(5) + P(6)
1/6 + 1/6 + 1/6 + 1/6 = 4/6 = 2/3
7. The probability of getting a head is 1/2. If you toss the coin two times, there are four different possibilities. HH, TT, HT, or TH. The answer would be 1/4, you get that by multiplying 1/2 by 1/2 again.