Function Notation - Algebra 1 Flashcards

Function Notation Basics

• Function notation expresses a relationship between an input (x) and output (f(x)).
• To evaluate a function, substitute the input value for x in the function’s expression.

Evaluating Functions

• For the function f(x) = x + 2, substituting -2 gives f(-2) = 0.
• For f(x) = -3x + 2, substituting 7 results in f(7) = -19.
• For f(x) = 1/2x - 10, substituting 30 yields f(30) = 5.
• For f(x) = x + 2 with an input of -9 results in f(-9) = -7.

More Function Evaluations

• For the function f(x) = 2x, substituting 1 gives f(1) = 2.
• The same function with an input of -4 results in f(-4) = -8.
• For f(x) = 4x + |x|, substituting -2 gives f(-2) = -6.
• For f(x) = 5x + 1, substituting 2 gives f(2) = 11.

Additional Function Values

• Evaluating f(4) from a certain function yields -1.
• Finding f(2) gives a result of 3.
• For an input of -1, evaluating yields f(-1) = -2.
• The value of f(0) results in -3, demonstrating the function's behavior at zero.