The value of function f(x) at x = - 1 and x = 3, will be -
f(-1) = 3
f(3) = 3
We have a function f(x).
We have to evaluate it at x = -1 and x = 3.
What is a function ?
A function in mathematics is a relation between a dependent and independent variables [y and x respectively]. In a function, the dependent variable (y) always depends on independent variable (x) for its value. It is denoted by - y = f(x).
According to the question, we have -
f(x) = [- x + 2 , x ≤ 1] and f(x) = [x² - 4x + 6, x > 1]
Now, for x = -1, f(x) will be -
f(- 1) = - (-1) + 2 = 3
and
for x = 3, f(x) will be -
f(3) = 3² - 4 x 3 + 6 = 3
Hence, the value of function f(x) at x = - 1 and x = 3, will be -
f(-1) = 3
f(3) = 3
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