Function and Graph Actual Question in 2023 Slot - 2
Q1. Consider the following figure that shows the graph of the function F defined by
F(x) = | 2x | + 4 for all numbers x:
For which of the following functions G defined for all numbers x does the graph of G intersect the graph of F?
A G(x) = x + 3
B G(X)= 2x - 2
C G(X)= 2x + 3
D G(x)= 3x -2
EXPLANATION
.D F(x) = |2x| + 4
Option A: G(x) = x + 3
If x > 0 or x = 0
2x + 4 = x + 3 x = -1 < 0
Therefore, this case is not possible.
If x < 0 -2x + 4 = x + 3 3x = 1 x = 1/3 > 0
Therefore, this case is not possible.
Option B: G(x) = 2x - 2 If x > 0 or x = 0 2x + 4 = 2x - 2
This case is not possible. If x < 0
