Determine if the function is one-to-one.
A decreasing line intercepting the y axis at 0,4
To determine if a function is one-to-one, we need to check if every different value of the independent variable (x) is paired with a different value of the dependent variable (y).
In this case, the function is a decreasing line that intercepts the y-axis at 0,4. Let's call this function f(x).
To determine if f(x) is one-to-one, we need to check if it passes the horizontal line test. The horizontal line test is a visual test where we imagine drawing horizontal lines across the graph of the function. If any horizontal line intersects the graph of the function at more than one point, then the function is not one-to-one.
Since the function is a decreasing line, there will be no horizontal lines that intersect the graph at more than one point. Therefore, the function is one-to-one.
So, in summary, the function described, a decreasing line intercepting the y-axis at 0,4, is one-to-one.