f(2) = 3
f(-2) = 4
x = 1
Explanation:
This is a piece wise function and we need to indicate the domainand range for each function:
Note y = f(x)
The curve represent y = x² for values of x ≤ 1
The straight horizontal line represent y = 3 for values of x > 1 but ≤ 2
y = 3, for 1 < x ≤ 2
The slant straight line represent y = x for x > 2 but extends to infinity
y = x for x > 2
f(2): this means we should find the value of f(x) when x = 2
From the above, x =2 when y = f(x) = 3
Hence, f(2) = 3
f(-2): this means we should find the value of f(x) when x = -2
From the above, x = -2 when y = f(x) = x²
f(-2) = (-2)² = 4
Hence, f(-2) = 4
f(x) = 1
This means we should find the value of x when f(x) =1
f(x) = 1, when y = x²
f(x) = x²
we inset the value of f(x) into the equation:
1 = x²
x = √1
x = 1
Hence, f(x) =1 when x = 1
