Question

Question
(1 point)
Responses

quadratic function
quadratic function

exponential function
exponential function

absolute value function
absolute value function

linear functions
linear functions

Answer 1

It seems like you are listing types of mathematical functions. Here’s a brief description of each:

1. **Quadratic Function**: A function of the form \( f(x) = ax^2 + bx + c \), where \( a, b, \) and \( c \) are constants and \( a \neq 0 \). The graph of a quadratic function is a parabola.

2. **Exponential Function**: A function of the form \( f(x) = a \cdot b^x \), where \( a \) is a constant and \( b \) is the base of the exponential, with \( b > 0 \) and \( b \neq 1 \). These functions grow (or decay) rapidly and have a distinct shape that increases or decreases exponentially.

3. **Absolute Value Function**: A function of the form \( f(x) = |x| \), which outputs the non-negative value of \( x \). The graph of an absolute value function is V-shaped, reflecting all negative values of \( x \) into positive.

4. **Linear Function**: A function of the form \( f(x) = mx + b \), where \( m \) and \( b \) are constants. The graph of a linear function is a straight line.

If you need assistance with a specific question related to these functions, feel free to ask!