What are the x and y intercepts of the function?
To find the x intercepts of a function, we set the y value equal to zero and solve for x
To find the x intercepts of a function, we set the y value equal to zero and solve for x. Similarly, to find the y intercepts, we set the x value equal to zero and solve for y.
Let’s say we have the equation of a function in the form of y = f(x).
1. X Intercepts:
To find the x intercepts, we set y = 0 and solve for x. This means we are finding the values of x at which the graph intersects the x-axis.
2. Y Intercepts:
To find the y intercepts, we set x = 0 and solve for y. This means we are finding the values of y at which the graph intersects the y-axis.
Let’s work on an example to illustrate how to find the x and y intercepts of a function:
Consider the equation of a linear function y = 2x + 3.
1. X Intercepts:
To find the x intercept, we set y = 0:
0 = 2x + 3
To solve for x, we subtract 3 from both sides:
-3 = 2x
Now we divide by 2 to isolate x:
x = -3/2
So, the x-intercept is (-3/2, 0).
2. Y Intercepts:
To find the y intercept, we set x = 0:
y = 2(0) + 3
Simplifying the equation, we get:
y = 3
So, the y-intercept is (0, 3).
In summary, for the given function y = 2x + 3, the x intercept is (-3/2, 0), and the y intercept is (0, 3).
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