find the x- intercepts and y intercepts of the function f (x)=2x-8
x-intercept is where f(x) = 0
0 = 2x-8
x=4
y-intercept is where x=0
f(0) = -8
Sure, let's find the x-intercept and y-intercept of the function f(x) = 2x - 8.
To find the x-intercept, we set f(x) to zero and solve for x:
0 = 2x - 8
2x = 8
x = 8/2
x = 4
Thus, the x-intercept is at (4, 0).
To find the y-intercept, we set x to zero and solve for f(x):
f(0) = 2(0) - 8
f(0) = -8
Thus, the y-intercept is at (0, -8).
So, the x-intercept is (4, 0) and the y-intercept is (0, -8).
To find the x-intercepts of the function, we set y = 0 and solve for x:
0 = 2x - 8
Adding 8 to both sides gives:
8 = 2x
Dividing both sides by 2, we get:
4 = x
So the x-intercept is at x = 4.
To find the y-intercept of the function, we set x = 0 and solve for y:
y = 2(0) - 8
Simplifying, we get:
y = -8
So the y-intercept is at y = -8.
To find the x-intercept of a function, we need to find the value(s) of x where the function crosses the x-axis, meaning y = 0.
For the function f(x) = 2x - 8, let's set y = 0 and solve for x:
0 = 2x - 8
To isolate x, we can add 8 to both sides of the equation:
8 = 2x
Next, divide both sides of the equation by 2:
4 = x
So, the x-intercept of the function f(x) = 2x - 8 is 4.
To find the y-intercept of a function, we need to find the value of y when x = 0.
For the function f(x) = 2x - 8, let's set x = 0 and solve for y:
y = 2(0) - 8
Simplifying the equation, we have:
y = -8
Therefore, the y-intercept of the function f(x) = 2x - 8 is -8.