Function Notation

Math ⇒ Functions

Function Notation starts at 9 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Function Notation. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.

See sample questions for grade 10

What does the notation f(x) represent in mathematics?

A function f is defined by f(x) = 2x - 1 for all real numbers x. If f(a) = f(b), what can you conclude about a and b?

Given the function f(x) = 2x + 3, find the value of x such that f(x) = f(-x).

Given the function f(x) = 2x² - 5x + 4, find all values of x for which f(x) = 0.

If f(x) = 3x - 7 and g(x) = x², find the value of f(g(3)).

If f(x) = x² and g(x) = x + 1, what is the value of f(g(4)) - g(f(4))?

If h(x) = 2x + 1, and k(x) = h(x + 2), express k(x) in terms of x.

Let f(x) = x² - 4x + 7. If f(a) = f(-a), what is the value of a?

Which of the following is a correct way to define a function? (1) f(x) = x² (2) f(x) = 2x + 1 (3) f(x) = x/2 (4) All of the above

Which of the following is a function notation for a function named g? (1) g(x) (2) g = x (3) g + x (4) xg

Which of the following is NOT a correct function notation? (1) f(x) (2) y = f(x) (3) f = x (4) f(x) = x + 1

Which of the following is the correct way to write the function f evaluated at x = 0? (1) f(0) (2) f = 0 (3) f0 (4) 0f

Fill in the blank: If f(x) = 3x, then f(2) = ____.

Fill in the blank: If f(x) = x + 5, then f(10) = ____.

Fill in the blank: If f(x) = x², then f(____) = 25.

Fill in the blank: In the function notation f(x), f is the ____ and x is the ____ variable.

True or False: In function notation, the variable inside the parentheses is always called the independent variable.

True or False: In the function notation f(x), x is always the only possible input variable.

True or False: The function notation f(x) can be used for functions with more than one variable.

True or False: The notation f(a) means the function f is evaluated at a.