Simple Function Quiz

x' is called a variable because its value can change; it represents unknown or varying quantities in mathematical expressions.

f(x) = 2x² + 5x + 3
for x = 2
f(2) = 2x2² + 5x2 + 3 = 21

A straight line is represented by an equation of the form y = mx + c. The equation f(x) = 2x + 1 matches this form and is a straight line

The degree of a function is the highest power of the variable x in the expression. Here, the highest power is 2.

The term "4" does not have the variable x, so it is the constant term.

As x increases, x² becomes larger, so f(x) = x² + 2 also increases. The function grows rapidly for larger values of x.

An algebraic function is any function that can be formed using algebraic operations on the variable x. f(x) = sin(x) is a trigonometric (transcendental) function, not algebraic, because it involves the sine function, which cannot be expressed using only algebraic operations.

Substitute x = 3 into the function:
f(3) = 3² − 1 = 9 − 1 = 8.

A constant function always gives the same output, regardless of the input value of x. For f(x) = 7, the output is always 7 for any x.

A quadratic function has the form f(x) = ax² + bx + c.
f(x) = x² − 3x + 2 matches the form