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What are some reasons that you might have a nonzero y-intercept on a graph?
For any relationship between x and y, the value of y at x=0 (the y intercept) could be anything depending on what the relationship is. What was your weight when you were born? There are infinitely more relationships that are nonzero when x=0, than are zero.
Why the graph of a polynomial function with real coefficients must have a y-intercept but may have no x-intercept?
For a polynomial of the form y = p(x) (i.e., some polynomial function of x), having a y-intercept simply means that the polynomial is defined for x = 0 - and a polynomial is defined for any value of "x". As for the x-intercept: from left to right, a polynomial of even degree may come down, not quite reach zero, and then go back up again. A simple example is y = x2 + 1. Why is the situation for "x" and for "y" different? Well, the original equation is a polynomial in "x"; but if you solve for "x", you don't get a polynomial in "y".
Can a graph of a polynomial function have no y-intercept?
Yes. A lot of hyperbolic functions have no y- intercept. Also functions of the form Y=1/x^n Will only go to positive infinity as it approaches zero from the positive x direction and go to negative infinity as it approaches zero from the negative x direction. * * * * * While all that is true, the functions mentioned in the above answer are not polynomial functions! All polynomial functions will have a y-intercept provided there is no additional restriction on the domain so as to exclude x = 0.
What is the y-intercept of y equals 4x?
zero x-intercept also zero
What would the meaning of a nonzero y - intercept to a graph of total mass versus volume?
Technically, a non-zero y-intercept can't exist in such a graph. If you were looking at such a graph, it was probably because they cut it short, and were just showing part of it.
What is y intercept and x intercept of y x plus 8?
To find the y intercept put zero in for x and solve. To find the x intercept put zero in for y and solve. (0,8) and (-8,0)
What is the 5 percent rule to find if the y-intercept is significant?
The 5 percent rule states that if a confidence interval for the y-intercept does not contain zero, then the y-intercept is considered statistically significant at the 5% level. This means that the y-intercept is unlikely to be zero in the population.
What is the slope and y-intercept and x-intercept of y equals -7?
Slope is zero y-intercept is -7 there is no x-intercept for this equation
How do you find the y interecepts for polynomial functions?
You set x = 0 and evaluate the polynomial. Note that this should be "y-intercept" in the singular, not in the plural.
What is the x intercept of vertex (7-12) and y intercept (0135)?
The question cannot be answered without information about the nature of the curve, for example, what degree polynomial (if it is a polynomial).
What is the y-intercept of y equals 0.5x?
Zero.
How do you find the y intercept of a linear relationship from a table?
When the x-intercept is equal to zero, the value of y is the y-intercept. If you don't have zero on the table, use the formula y=mx+b, where m is the slope, and b is the intercept.
