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f(x) = mx + b
Restate the question: What are the functions that can represent a straight line?
The equation y=mx + b represents all straight lines except for a vertical line, which has undefined slope.
In function form, this is f(x) = mx + b. m represents the slope, and b the y-intercept.
x = a represents a vertical line, which is not a function.
The 'general form' of the straight line equation is Ax +By + C = 0. As long as B is not zero, this is a function.
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Why is there no horizontal-line test for functions?
there is no horizontal-line test for functions, because people do not do the test that is why !!!
Can the graph of a functions be verticle line?
Yes the graph of a function can be a vertical or a horizontal line
How are linear equations and functions alike?
They are not. A vertical line is not a function so all linear equations are not functions. And all functions are not linear equations.
What are the similarities between exponential linear and quadratic functions?
Of the three functions, all three pass the vertical line test. That is, if you draw a vertical line anywhere on the graph that the function is, that line will only pass through the function once. All three are also invertible functions, which means that there is a function that is capable of "undoing" the original function. And because the functions all pass the vertical line test, they are all able to be differentiated.
Which line has no endpoint and goes on forever?
A line representing any polynomial function, power function (including negative powers), trigonometric functions, most continuous probability distribution functions.
