Answer :
The x-intercept of the function is 0, and the y-intercept is -20.
The x-intercept of a function is the point where the function crosses the x-axis. This happens when y=0. In the function f(x), we can set y=0 and solve for x to find the x-intercept.
f(x) = 0
4x6 + 75 - 94 - 23 + 22 - 6x x x² = 0
4x6 - 72 - 6x x x² = -127
x6 - 18 - x² = -32
We can factor the expression on the left-hand side to get (x-4)(x+8)=0. This means that x=4 or x=-8. However, since x is the independent variable, it cannot be negative, so the only possible x-intercept is x=4.
The y-intercept of a function is the point where the function crosses the y-axis. This happens when x=0. In the function f(x), we can set x=0 and solve for y to find the y-intercept.
f(0) = 4(0)6 + 75 - 94 - 23 + 22 - 6(0) x (0)² = -20
Therefore, the y-intercept of the function is -20.
In conclusion, the x-intercept of the function is 0, and the y-intercept is
-20.
Learn more about x-intercept here:
brainly.com/question/14180189
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