Functions Worksheet - Big Ideas Math Prealgebra: A Florida Standards Curriculum Teaching Edition Page 37
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47You can sketch graphs showing relationships between quantities that are
described verbally.
2 2
Sketching Graphs
EXAMPLE
Sketch a graph that represents each situation.
a. A stopped subway train gains speed at a constant rate until it
reaches its maximum speed. It travels at this speed for a while,
and then slows down at a constant rate until coming to a stop at
the next station.
Step 1: Draw the axes. Label the vertical axis “Speed” and the
horizontal axis “Time.”
Step 2: Sketch the graph.
Words
Graph
A stopped subway train gains
increasing line segment
speed at a constant rate . . .
starting at the origin
horizontal line segment
until it reaches its maximum
speed. It travels at this speed
for a while, . . .
and then slows down at a
decreasing line
constant rate until coming to
segment ending at the
a stop at the next station.
horizontal axis
Time
b. As television size increases, the price increases at an
increasing rate.
Step 1: Draw the axes. Label the vertical
axis “Price” and the horizontal
axis “TV size.”
Step 2: Sketch the graph.
The price increases at an
increasing rate. So, the graph is
nonlinear and becomes steeper
TV size
and steeper as the TV size
increases.
Sketch a graph that represents the situation.
Exercises 15–18
2. A fully charged battery loses its charge at a constant rate until
it has no charge left. You plug it in and recharge it fully. Then it
loses its charge at a constant rate until it has no charge left.
3. As the available quantity of a product increases, the price
decreases at a decreasing rate.
Section 6.5
Analyzing and Sketching Graphs
275
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