FAMILIES OF FUNCTIONS NAME: ____________________________family name parent equation shape/name of shape + other notes

y

x

y

x

y

x

y

x

y

x

y

x

y

x

y

x

FAMILIES OF FUNCTIONS NAME: ____________________________family name parent equation shape/name of shape + other notes

linear f(x) = x

oblique line

constant

f(x) = c

horizontal line

quadratic f(x) = x2parabola

square root f(x) = ❑√ x “root ramp”

cubic f(x) = x3 “cubic curve”

cube root f(x) = 3√ x s-shape

exponential f(x) =abx “swoosh”

absolute value f(x) = |x| v-shape

y

x

y

x

y

x

y

x

y

x

y

x

y

x

y

x

Connection Questions

The first activity of the year was “Paperclip Craziness.” You graphed the relationship between time and length of the paperclip chain. To which family did that graph belong?

Sketch the graph:

The “Race to the Top” graphs all had the same shape. To which family did those graphs belong?

Sketch the graph:

If you were to toss a ball in the air and graphed the height of the ball over time what would it look like? To which family would the graph belong?

Any other real-world connections to a function family?

time

length

roll

score

time

height above ground