what is the y - intercept of the graph of the function f(x)=x² + 3x + 5?\n(0, - 5)\n(0, - 3)\n(0, 3)\n(0, 5)
what is the y - intercept of the graph of the function f(x)=x² + 3x + 5?\n(0, - 5)\n(0, - 3)\n(0, 3)\n(0, 5)
Answer
Explanation:
Step1: Recall y - intercept concept
The y - intercept of a function (y = f(x)) is the value of (y) when (x = 0).
Step2: Substitute (x = 0) into the function
Given (f(x)=x^{2}+3x + 5), when (x = 0), we have (f(0)=0^{2}+3\times0 + 5). Since (0^{2}=0) and (3\times0 = 0), then (f(0)=5). The y - intercept is the point ((0,5)) because the general form of a point on the y - axis is ((0,y)) and here (y = 5).
Answer:
D. ((0,5))