subject: Evaluate The Function For The Given Value Of X [print this page] Introduction to evaluate the function for the given value of x:
In mathematics, function is nothing but depending on the input value, the output value to be determined. We can map the variables of the function into a coordinate system. Function is denoted in the form of y = f(x). If a function contains only one variable then it is called as one variable function. For example: f(x) = 6x + 4. Here, x is called a variable. To calculate a function, we need to substitute a given x value (domain) in the function and we get a corresponding output (range). Now, we are going to evaluate some of the functions for the given value of x.
Example Problems- Evaluate the Function for the Given Value of X:
Example problem 1:
Evaluate f(3) for the function f(x) = 10x + 3.
Solution:
The given function is f(x) = 10x + 3.
Now, we have to find the value of f(3).
Substitute the value of x = 3 in the given function
f(3) = 10(3) + 3
f(3) = 33
So, the answer is f(3) = 33.
Example problem 2:
Evaluate f(3) for the function f(x) = -5x2 + 1x + 10.
Solution:
The given function is f(x) =-5x2 + x + 10.
Now, we have to find the value of f(3).
Substitute the value of x = 3 in the given function
f(3) = -5(3)2 + (3) + 10
f(3) = -45 + 3 + 10
f(3) = -32
So, the answer is f(3) = -32.
Additional Problems- Evaluate the Function for the Given Value of X:
Example problem 3:
Evaluate f(1) for the function f(x) = -2x2 +2 x .
Solution:
The given function is f(x) =-2x2 + 2x.
Now, we have to find the value of f(1).
Substitute the value of x = 1 in the given function
f(1) = -2(1)2 + 2
f(1) = -2 + 2
f(1) = 0
So, the answer is f(1) = 0.
Example problem 4:
Find the ordered pairs of the function: f(x) = -3x + 3
