What is the y-intercept of the graph of the function f(x) = x² + 3x + 5?
(0,-5), (0, -3), (0,3), (0,5)

Solution:

The y-intercept is a point on the y-axis where the curve cuts the y-axis.

For any point on y axis x = 0.

Given, function f(x) = x² + 3x + 5

Substitute x = 0 in f(x), we get

f(0) = (0)² + 3(0) + 5

f(x) = 5

Hence the required y-intercept is (0, 5).

What is the y-intercept of the graph of the function f(x) = x² + 3x + 5?

Summary:

The y-intercept of the graph of the function f(x) = x² + 3x + 5 is (0, 5).