The y intercept is (0, 12)
Solution:
Given function is:
[tex]f(x) = 8x^5 - 3x^3 + 12[/tex]
To find: y intercept
y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system.
To find the y intercept using the equation of the line, plug in 0 for the x variable and solve for y
Substitute x = 0 in given function
[tex]f(0) = 8(0) -3(0) + 12[/tex]
y = 0 - 0 + 12
y = 12
Thus y - intercept is (0, 12)