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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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Q: How are functions equation slopes and graphs related?
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Related questions

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.


Determine whether the graphs of the equations are parallelperpendicular or neither?

Base on the slope of two linear equations (form: y = mx+b, where slope is m): - If slopes are equal, the 2 graphs are parallel - If the product of two slopes equals to -1, the 2 graphs are perpendicular. If none of the above, then the 2 graphs are neither parallel nor perpendicular.


How are the slopes of the sides of a parallelogram related?

The slopes of the opposite sides are equal.


How are the slopes of parallel lines related?

The slopes of two parallel lines will be the same.


How do you find a slope of a equation?

Two parallel lines have equal slopes.


How do you find the slope of a parallel equation?

Two parallel lines have equal slopes.


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


How are the seked and slopes related?

seked is another word for slope.


How do you know if two equations are parrallel?

If the slopes of a straight line equation are the same but with different y intercepts then they are parallel.


The difference between consistent and inconsistent in algebra?

Consistent means that the equation does not have the same slopes. Inconsistent means that it has the same slope.