It intercepts the y axis at (0, 5) and it intercepts the x axis at (-2.3, 0) passing through the I, II and III quadrants
No, the graph of an oval/ellipse is not a function because it does not pass the vertical line test.
False
No
Graph that equation. If the graph pass the horizontal line test, it is an inverse equation (because the graph of an inverse function is just a symmetry graph with respect to the line y= x of a graph of a one-to-one function). If it is given f(x) and g(x) as the inverse of f(x), check if g(f(x)) = x and f(g(x)) = x. If you show that g(f(x)) = x and f(g(x)) = x, then g(x) is the inverse of f(x).
"y = f(x) is a function if it passes the vertical line test. It is a 1-1 function if it passes both the vertical line test and the horizontal line test. " - In order to be a one-to-one function, it first has to BE a function and pass the vertical line test. For example, a relation on a graph like a circle that does not pass the vertical line test is not function nor one-to-one.
I,ii
II and IV
It will pass through the first (when x is positive) and third quadrants (when x is negative, y will also be negative).
Quadrants I and III, numbered from I at upper right (+, +) left and moving clockwise. The line passes through the origin (0,0).
A curved line can pass through (not threw) all four quadrants. The maximim for a straight line is three.
depends on line slope
it lies in the 2nd and 4th quadrants
I would say from an educated guess that it is 0. A straight line could avoid all quadrants if it were placed on the origins of the x and y axis.
No. Because a vertical line will pass through two points on the graph.
No, the graph of an oval/ellipse is not a function because it does not pass the vertical line test.
True
The graph must be linear and pass thru the origin