FUNCTIONS
I draw without bending, turning, or curving — follow my path and you’ll see I never stray. What kind of function always marches in a perfectly straight way?
a function whose graph forms a straight line
linear function
I wait to see what happens — my value shifts only after another variable makes its move. Who am I?
changes in response to another variable
dependent variable
I’m a rule that never gets confused — every input gets exactly one output, no duplicates allowed. What am I?
a relation that contains only one output for every input
function
I never lift my pencil — my curve or line flows smoothly without breaks. What type of graph am I?
a graph that is unbroken
continuous graph
I twist, turn, curve, or zig-zag — but I certainly don’t make a straight path. What kind of function am I?
a function whose graph is not a line or part of a line
nonlinear function
I go first — you choose me freely, and the function responds. Which variable am I?
a variable that provides the input of a function
independent variable
I’m the collection of all the values you can feed into a function — the menu of inputs it can eat. What am I?
the values for the input of a relation or a function
domain
I appear as dots that stand alone — no connecting lines, just separate points. What graph am I?
a graph that contains isolated points
discrete graph
I’m everything a function can dish out — all the outputs it produces after doing its work. What am I?
the values for the output of a relation or function
range
I’m a collection of pairs that work together — each one showing a matched input and output. What am I?
a set of ordered pairs
relation
I’m a list that follows a rule — number after number, forming a pattern you can trace. What am I?
an ordered list of numbers that often forms a pattern
sequence
To know the next number, look to the ones before — I build each term from the past. What formula am I?
a formula that defines the terms in a sequence by relating each term to the ones before
recursive formula