Results from f (-4) = 11
Further explanation
Set A to set B is said to be a function if each member of set A pairs is exactly one member of set B
So, one value of x is only assigned to one value of y, or one input for one output
A function can be expressed in the form of a diagram, the set of ordered pairs, or arrow diagrams
If y is a function of x, then y = f (x)
where x is the independent variable and y is the dependent variable
x is the domain and y is the result area or range
There are several forms of function including:
• 1. linear function
• 2. quadratic function
• 3. trigonometric functions
• 4. polynomial function
• 5. fraction function etc.
A function can be write as ordered pair
Ordered pairs because we write the input first, and then the output
Can be described in form
(input, output)
or
(x, f (x))
For example a set of ordered pairs
(2,4), (3,5), (4,6)
input values (as domain) 2,3,4
output values (as range) 4,5,6.
Piecewise Functions: functions that have different equations based on the input (x) value
A function made up of 2 pieces:
- 1.f (x) = x²-5, if x <3
- 2.f (x) = 2x + 5, if x> 3
if we look for f (-4), then:
Because -4 is <3, so we use f (x) = x²-5, so
\(\rm f(−4)=(-4)^2-5\\\\f(-4)=16-5\\\\f(-4)=\boxed{11}}\)
Learn more
F (x) = x2 + 1 g (x) = 5 - x
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the inverse of the function f (x) = 2x-10
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domain of the function
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