Set x = 0 and solve for the y intercepts. "y" and f(x) mean the same thing.
Then set f(x)= y = 0 and solve for the x intercepts. There is only one y-intercept, at f(x) = y = +4.
f(x)=x^2-5x+4
Then set f(x)= y = 0 and solve for the x intercepts. There is only one y-intercept, at f(x) = y = +4.
Please tell me if this is correct.
x=4
y=-5
I already told you that the y intercept is at x=0, y=4.
The x intercepts are at x = (4,0) and at (1,0)
If you are trying to solve two simultaneous equations in two unknowns, subtract the second equation from the first, in this case.
That will leave you with 5x = 0, so x = 0. Use either of the original equations for y.
Let's start by finding the y-intercept of the function f(x) = x^2 - 5x + 4. To find the y-intercept, we set x equal to zero:
f(0) = (0)^2 - 5(0) + 4
f(0) = 4
So the y-intercept is (0, 4).
Next, let's find the x-intercepts of the function. To do this, we set y (or f(x)) equal to zero and solve for x:
0 = x^2 - 5x + 4
To solve this quadratic equation, you can either factor it or use the quadratic formula:
Factoring:
0 = (x - 1)(x - 4)
By setting each factor equal to zero, we find:
x - 1 = 0 -> x = 1
x - 4 = 0 -> x = 4
So the x-intercepts are (1, 0) and (4, 0).
Therefore, the y-intercept is (0, 4) and the x-intercepts are (1, 0) and (4, 0).