Find the x- y-intercepts and graph the function f(x)=5x-10
f(0)=-10 y-intercept is (0,-10)
f(x)=0=5x-10
10=5x
x=2 x-intercept is (2,0)
To find the x-intercept of a function, you need to set y (or f(x)) equal to zero and solve for x. On the other hand, to find the y-intercept, you set x equal to zero and solve for y.
For the given function f(x) = 5x - 10:
1. To find the x-intercept, set f(x) = 0:
0 = 5x - 10
To solve for x, add 10 to both sides:
10 = 5x
Divide both sides by 5:
2 = x
Therefore, the x-intercept is at point (2, 0).
2. To find the y-intercept, set x = 0:
f(0) = 5(0) - 10
Simplifying, you get:
f(0) = -10
Therefore, the y-intercept is at point (0, -10).
To graph the function, plot these two points on a coordinate plane: (2, 0) and (0, -10). Then, draw a line passing through both points.