Question

What is the y-intercept of f(x)=8x^5-3x^3+12

Answer 1

The y intercept is (0, 12)

Solution:

Given function is:

`f(x) = 8x^5 - 3x^3 + 12`

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

`f(0) = 8(0) -3(0) + 12`

y = 0 - 0 + 12

y = 12

Thus y - intercept is (0, 12)