Unit 5, Lesson 6
Features of Graphs
Algebra 1
Practice
Problem 1
This graph represents Andre’s distance from his bicycle as he walks in a park.
Graph of Andre’s distance from his bicycle, coordinate plane, origin \(O\). Horizontal axis scale 0 to 30 by 5’s, labeled “time (seconds)”. Vertical axis scale 0 to 10 by 2’s, labeled “distance (feet)”. The graph begins at (0 comma 0), rises in a smooth curve through (2 comma 1), (5 comma 5) to (8.5 comma 8). The graph decreases to (11 comma 6 point 5) and is horizontal to (14 point 5 comma 6 point 5). The graph then decreases in a smooth curve to (17 comma 1) and rises in a smooth curve to (22 comma 8) and finally curves down to (27 comma 0).
Decide whether the following statements are true or false.
- The graph has multiple horizontal intercepts.
- A horizontal intercept of the graph represents the time when Andre was with his bike.
- A minimum of the graph is \((17,1)\).
- The graph has two maximums.
- About 21 seconds after he left his bike, he was the farthest away from it, at about 8.3 feet.
Problem 2
The graph represents the temperature in degrees Fahrenheit as a function of time.
Function on coordinate plane, no grid. Horizontal axis, time, values listed are 12 p m, 3 p m, 7 p m, and 9 p m. Vertical axis, temperature, no labels. Line starts on vertical axis, increases until 12 pm, then increases again until 3 pm. From 3 to 7 pm, line decreases, and then decreases more quickly until 9 pm.
Tell the story of the temperature throughout the day.
Identify the maximum and minimum of the function and where the function is increasing and decreasing.