Question

choose the function types whose graphs consist only of lines. select all that apply. linear functions constant functions quadratic functions exponential functions linear absolute value functions

Explanation:

• Linear functions: Their general form is \( y = mx + b \), which graphs as a straight line.
• Constant functions: A special case of linear functions where \( m = 0 \), so \( y = b \), which is a horizontal line.
• Quadratic functions: Have the form \( y = ax^2 + bx + c \) (\( a

eq0 \)) and graph as parabolas (curved), so they don't consist only of lines.

• Exponential functions: Have the form \( y = a^x \) (\( a>0, a

eq1 \)) and graph as curves (e.g., increasing/decreasing curves), not lines.

• Linear absolute value functions: The general form is \( y = |mx + b| \), which graphs as a "V - shaped" graph made up of two linear segments (straight lines).

Answer:

A. Linear functions, B. Constant functions, E. Linear absolute value functions