Pc Functions Library

Library of Functions

You should be familiar with the shapes of these basic functions.

n i L

r a e

u F

s n it o

c n

Equations that can be written f(x) = mx + b slope

y-intercept

The domain of these functions is all real numbers.

f(x) = 3

f(x) = -1

f(x) = 1

Constant Functions f(x) = b, where b is a real number The domain of these functions is all real numbers.

Would constant functions be even or odd or neither?

The range will only be b

If you put any real number in this function, you get the same real number “back”.

f(x) = x

Identity Function f(x) = x, slope 1, y-intercept = 0 The domain of this function is all real numbers.

Would the identity function be even or odd or neither?

The range is also all real numbers

Square Function f(x) = x2 The domain of this function is all real numbers.

Would the square function be even or odd or neither?

The range is all NON-NEGATIVE real numbers

Cube Function f(x) = x3 The domain of this function is all real numbers. The range is all real numbers

Would the cube function be even or odd or neither?

Square Root Function f ( x) = x The domain of this function is NON-NEGATIVE real numbers.

Would the square root function be even or odd or neither?

The range is NON-NEGATIVE real numbers

1 f ( x) = x

Reciprocal Function The domain of this function is all NON-ZERO real numbers.

Would the reciprocal function be even or odd or neither?

The range is all NON-ZERO real numbers.

f ( x) = x

Absolute Value Function The domain of this function is all real numbers.

Would the absolute value function be even or odd or neither?

The range is all NON-NEGATIVE real numbers