Maths-

General

Easy

Question

Explain whether this graph represents a function ?

hint Hint:

An equation of the form y = f(x) is called a function if there is a unique value of y for every value of x. In other words, every value of x must have one value of y. We can check if the graph is a function by the vertical line test. A graph represents a function if any vertical line in the xy plane cuts the graph at maximum one point.

The correct answer is: graph is a function.

Step by step solution:
The given graph is

We can check if a graph is a function by the vertical line test. A graph represents a function if any vertical line in the xy plane cuts the graph at maximum one point. We use this method to check if the given graph represents a function.
We can see that if we draw any vertical line in the xy plane, it cuts the graph at exactly one point.
Hence, the given graph is a function.
.

In a function, every value of x must have one value of y. When we draw a vertical, it cuts x axis at one point, we take that point to be x. If the vertical line cuts the graph at two points, then it gives two values of y for one value of x. This does not represent a function

Use elimination to solve the system of equations.
$y equals negative x squared plus 4 x plus 2$
$y equals 2 minus x$

For any equation of the form: $x squared plus left parenthesis a plus b right parenthesis x plus a b$ , the solutions are: $x equals negative a straight & x equals negative b$

Use elimination to solve the system of equations.
$y equals negative x squared plus 4 x plus 2$
$y equals 2 minus x$

Maths-General

For any equation of the form: $x squared plus left parenthesis a plus b right parenthesis x plus a b$ , the solutions are: $x equals negative a straight & x equals negative b$

General

Maths-