Question

Given the function (f(x) = 3x² + 5), which of the following represents its y-intercept?

a. (0, 5)
b. (5, 0)
c. (0, 0)
d. (0, 3)

Answer 1

The y-intercept of the function f(x) = 3x² + 5 is the point where the value of x is 0. After calculation, the y-intercept is the point (0, 5).

Step-by-step explanation:

The y-intercept of a function is the point where the graph of the function crosses the y-axis. To find the y-intercept of the function f(x) = 3x² + 5, you need to determine the value of f(x) when x is 0. Plugging x = 0 into the function, we get f(0) = 3(0)² + 5 = 5, so the y-intercept is at the point (0, 5).