The question wants us to find the y-intercept for the following function:
[tex]f(x)=x^4+3x^3-2x+7[/tex]To find the y-intercept, we just need to evaluate the function on the y-axis( x = 0). Doing the evaluation:
[tex]\begin{gathered} f(0)=0^4+3\times0^3-2^{}\times0+7=7^{} \\ \Rightarrow f(0)=7 \end{gathered}[/tex]With this, we find that the function intercept the y-axis at the point (0, 7).
The answer is:
[tex](0,7)[/tex]