Find the intersection of the function
With the Y
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Find the intersection of the function
With the Y
To determine the intersection of the function with the y-axis, we set , as the y-axis is defined by all points where .
Substituting into the equation:
Simplifying this expression:
Thus, the intersection point of the function with the y-axis is .
Therefore, the solution to the problem is .
Find the intersection of the function
\( y=(x-2)^2 \)
With the X
The y-axis is where x = 0 for every point! So to find where any function crosses the y-axis, you substitute x = 0 into the equation and solve for y.
The y-intercept is where the graph crosses the y-axis (set x = 0). The x-intercept is where it crosses the x-axis (set y = 0). Don't mix them up!
Always write intercepts as ordered pairs (x, y). For y-intercept, x = 0, so if y = 4, write .
No! Every function can have at most one y-intercept because each x-value can only give one y-value. But it can have multiple x-intercepts.
That's perfectly normal! Y-intercepts can be positive, negative, or zero. Just make sure your arithmetic is correct and write the coordinate point properly.
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