The x-intercept of f(x) is 4
The y-intercept of f(x) is -8.
What is a function?
A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
f(x) = x³ - 7x² + 14x - 8
One of the factors of f(x) is (x - 4).
This means,
x = 4
Now,
The x-intercept is when y = 0.
The y-intercept is when x = 0.
When y = 0 we get the x value.
x = 4 is a factor.
The x-intercept is x = 4.
Now,
Put x = 0,
f(x) = y
y = x³ - 7x² + 14x - 8
y = 0 - 0 + 0 - 8
y = -8
Thus,
The x-intercept of f(x) is 4
The y-intercept of f(x) is -8.
Learn more about functions here:
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