Which is the graph of the function f(x) = x2 + 2x + 3?
2 answers:
Answer:
Refer the graph attached.
Step-by-step explanation:
Given : Equation
To find : The graph of the given equation?
Solution :
Let,
First we find the points which satisfy the equation and then joining those points give you the graph.
Points are
x y
-3 6
-2 3
-1 2
0 3
1 6
Now, We plot these points.
The graph is the parabola with vertex (-1,2).
Refer the attached graph below.
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Answer: C) No, because one x-value corresponds to two different y-values.
Explanation:
At the bottom of the table, we see that x = 6 corresponds to y = 5 and y = 6 at the same time. Such a thing is not possible if we want a function to happen. A function is only valid when any x input leads to exactly one y output (assuming this x value is in the domain). We'd have to cross off either of these two rows to help make this table a function.
As a visual approach, you can plot each row as (x,y) points on the same coordinate grid. Then notice how (6,5) and (6,6) line up vertically, which means this collection of points fail the vertical line test, and this is a visual way to see why we don't have a function.
