Final answer:
The y-intercept of the polynomial f(x) = 8x³ + 2x² - 3x + 4 is found by evaluating the function at x=0, which gives a y-intercept of 4.
Step-by-step explanation:
To find the y-intercept of the polynomial f(x) = 8x³ + 2x² - 3x + 4, we need to evaluate the function at x=0. The y-intercept is the point where the graph of the function crosses the y-axis, which occurs when the x-value is zero.
Substituting x=0 into the polynomial, we get:
f(0) = 8(0)³ + 2(0)² - 3(0) + 4
= 0 + 0 - 0 + 4
= 4
Therefore, the y-intercept of the function f(x) is 4.