Is true
There are one or infinitely many points.
No. A line can be contained by many, many planes, Picture this, A rectangle with corners - going clockwise - A, B, C and D is the screen of your computer. This is a plane figure. 1 inch away from it a line runs from A1 to C1. The line is parallel to the plane. Now, take a sheet of paper with corners E, F, G and H, and place corner E at corner A of the screen, and place corner F at corner C of the screen. The Line AI is now 'contained' in the plane EFGH. and EFGH is perpendicular to ABCD.
The roots of an equation of the form y = f(x), are those values of x for which y = 0. If plotted on the coordinate plane, these are the points where the graph of y against x crosses (or touches) the x axis.
point B lies in plane U
Of course not.The graph of [ f(x) = 4 ] is the straight line [ Y = 4 ] . . . a perfectly good function with all of its points on the same horizontal line.The graph of [ f(x) = x2 ] is the parabola with its nose at the origin and opening upwards. Another perfectly good function which has two points on every horizontal line [ Y = K ].In fact, I think probably every f(x) that has 'x to some power' in it always has at least two points on the same horizontal line.
Is true
Is true
There are one or infinitely many points.
No. A line can be contained by many, many planes, Picture this, A rectangle with corners - going clockwise - A, B, C and D is the screen of your computer. This is a plane figure. 1 inch away from it a line runs from A1 to C1. The line is parallel to the plane. Now, take a sheet of paper with corners E, F, G and H, and place corner E at corner A of the screen, and place corner F at corner C of the screen. The Line AI is now 'contained' in the plane EFGH. and EFGH is perpendicular to ABCD.
Depends entirely on what 'F' is.
the set f all points of the plane which lie either on the circle or inside the circle form the circular region
No, seat F on a plane is typically not a window seat.
The letter "F" is worth 4 points in Scrabble.
The fixed points of a function f(x) are the points where f(x)= x.
Both RC plane are awsome because they are both planes.
The roots of an equation of the form y = f(x), are those values of x for which y = 0. If plotted on the coordinate plane, these are the points where the graph of y against x crosses (or touches) the x axis.
Yes.