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There are some relationships but not all relationships are always true.
Any function can be represented by an equation. But all equations are not functions. For example, y = sqrt(x) is the equation of the square root relationship which can be graphed as a parabola on its side, but it is not a function. It has slopes at each point.
Some functions can be plotted as graphs but not all.
A function such as
f(x) = 1 when x is rational, and
f(x) = 0 when x is irrational
has no slope and cannot be plotted as a graph.
A graph of a vertical line is not a function.
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If two linear equations are in standard form how can you tell that the graphs are parellel?
If the slopes are the same on both graphs, they are parallel, and will never touch.
How are the slopes of the sides of a parallelogram related?
The slopes of the opposite sides are equal.
How do graphs help you understand functions?
Typically, functions are graphed on x-y coordinates. A function of x means that for every x point, there must be a single y point. You can also many properties by graphing a function, such as the minimum and maximum points, slopes and inflection points, and the inverse of the function (y values plotted on x coordinate, and x values on y coordinate).
The graph of the equation below is a hyperbola What are the slopes of the hyperbolas asymptotes?
7/12 and 7/12 is the answer
The graph of the equation below is a hyperbola. What are the slopes of the hyperbola's asymptotic?
7/12 and 7/12 is the answer
