What is the \( y \)-intercept of the following function? \( f(x)=4 x^{5}-6 x^{2}-3 x+7 \) 4 -3 7 -6

To find the \( y \)-intercept of the function \( f(x) = 4x^5 - 6x^2 - 3x + 7 \), we need to evaluate the function at \( x = 0 \). Plugging in \( 0 \) gives us \( f(0) = 4(0)^5 - 6(0)^2 - 3(0) + 7 = 7 \). Thus, the \( y \)-intercept is \( 7 \). In a polynomial function, the \( y \)-intercept represents the value of the function when all the \( x \) terms are eliminated, leaving only the constant term. This can be especially useful when graphing, as it gives a clear starting point on the \( y \)-axis!