Question

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

(0,-5)
10 (0, -3)
(0,3)
(0,5)

Answer 1

Answer:

(0, 5)

Step-by-step explanation:

The y-intercept is exist for x = 0.

We have the equation of the function: f(x) = x² + 3x + 5 → y = x² + 3x + 5.

Put x = 0:

y = 0² + 3(0) + 5 = 0 + 0 + 5 = 5

Answer 2

The correct option is option D: The y-intercept of the graph of the function will be (0,5).

How to determine the y-intercept of the graph of the function?

The y-intercept of the function is determined by the point where the graph intercepts the y-axis.

At the point where the graph meets the y-axis, the x coordinate will be 0.

So by putting the x value =0 in the graph function, we can determine the y-intercept of the graph function. i.e. y=f(0)

Here, the function is given by f(x)=x²+3x+5

At the y-intercept point the x coordinate=0

So putting x=0, we can determine the y-intercept of the graph.

f(0)=0²+0+5=5

The y-coordinate of the y-intercept is 5.

The x-coordinate of the y-intercept is 0.

So the coordinate of the y-intercept is (0,5).

Learn more about the y-intercept of function

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