Answer:
Option (3) x = 1
Step-by-step explanation:
f(x) represents a quadratic function as given in the graph (parabola).
Vertex of the parabola → (-2, -7)
Equation of function represented by the graph will be,
f(x) = (x + 2)² + (-7)
f(x) = (x + 2)² - 7
Option (1) For x = -1,
f(-1) = (-1 + 2)² - 7
= -6
Another function has been given as,
h(x) = 4ˣ - 3
For x = -1,
h(-1) = 4⁻¹ - 3
= 0.25 - 3
= -2.75
Option (2). For x = 0
f(0) = (0 + 2)² - 7
= 4 - 7
= -3
h(0) = 4⁰ - 3
= 1 - 3
= -2
Option (3). For x = 1,
f(1) = 9 - 7 = 2
h(1) = 4¹ - 3
= 4 - 3
= 1
Option (4).For x = 2,
f(2) = (2 + 2)² - 7
= 16 - 7
= 9
h(2) = 4² - 3
= 16 - 3
= 13
Therefore, for x = 1, function f(x) has a greater value than function h(x).
Option (3) will be the answer.
