Interpreting Graphs of Functions

Interpreting Graphs of Functions

Multiple Choice

A graph is shown. For what values of x is y decreasing?

• between x = 1 and x = 2

• between x = 2 and x = 3

• between x = 3 and x = 4

• The function is never decreasing.

Multiple Choice

Jill went for a run. She recorded her elapsed time and her distance from home in the graph below. Which description best matches the graph?

• Jill ran for 3 miles at a constant rate, and then she turned around and ran home at the same rate.

• Jill ran uphill for 30 minutes, and then she ran downhill for 30 minutes.

• Jill’s rate increased for 30 minutes, and then her rate decreased for 30 minutes.

• Jill ran for 3 miles at a faster rate, and then ran for 3 miles at a slower rate.

Multiple Choice

A graph is shown. Which choice best describes the function shown in the graph?

• increasing and linear

• decreasing and linear

• increasing and nonlinear

• decreasing and nonlinear

Multiple Choice

A function is shown on the graph. Which statement describes all of the intervals where the function is increasing?

• The function is increasing when x is between ^–1 and 2.0.

• The function is increasing when x is between ^–7 and ^–4.

• The function is increasing when x is between ^–7 and ^–4 and when x is between ^–1 and 2.

• The function is increasing when x is between ^–10 and ^–7 and when x is between ^–4 and ^–1.

Multiple Choice

The graph of a function is shown. What are all the domains in which the function is decreasing?

• The function is decreasing when x is between –5 and –3 and when x is between 7 and 10.

• The function is decreasing when x is between 0.5 and 4 and when x is between 7 and 10.

• The function is decreasing when x is between –5 and –3, when x is between 0.5 and 4, and when x is between 7 and 10.

• The function is decreasing when x is between –7 and 2, when x is between –7 and 4.25, and when x is between –3.5 and –2.

Multiple Choice

A graph is shown. Which choice best describes the graph between x = 5 and x = 10?

• linear and increasing

• linear and decreasing

• nonlinear and increasing

• nonlinear and decreasing

Multiple Choice

A function f(x) is given. Which choice describes the function from 0 ≤ x ≤ 2?

• linear and increasing

• linear and decreasing

• nonlinear and increasing

• nonlinear and decreasing

Multiple Choice

A graph is shown. Where is the entire graph decreasing?

• The function is decreasing when x > –5.

• The function is decreasing when x > –1.

• The function is decreasing when x > 1.

• The function is decreasing when x > 2.

Multiple Choice

A graph is shown. Over which intervals is the graph linear?

• between x = 0 and x = 6

• between x = 0 and x = 9

• between x = 0 and x = 6 and between x = 2 and x = 9

• between x = –10 and x = –3 and between x = 2 and x = 9.

Multiple Choice

A function is graphed. Which statement is true about the entire interval being described?

• The graph is decreasing when x is between –6 and 8.

• The graph is decreasing when x is between –2 and 2.

• The graph is decreasing when x is between –6 and –2 and when x is between 2 and 8.

• The graph is decreasing when x is between –5 and 1 and when x is between 1 and 5.

Multiple Choice

A graph is shown.

Which choice describes the graph on the interval from x = 1 to x = 4?

• The graph is nonlinear and decreasing.

• The graph is nonlinear and increasing.

• The graph is linear and decreasing.

• The graph is linear and increasing.

Multiple Choice

This graph shows Marc’s speed during his car trip. What is happening between points N and O?

• Marc’s car is traveling at a constant speed.

• Marc’s car is stopped at a light.

• Marc’s car is slowing down.

• Marc’s car is speeding up.

Multiple Choice

A graph is shown. Which choice best describes the function?

• increasing and linear when x ≥ 1 and x ≤ 4

• decreasing and linear when x ≥ 4 and x ≤ 5

• increasing and non-linear when x ≥ –3 and x ≤ 1

• increasing and non-linear when x ≥ –5 and x ≤ –3

Multiple Choice

A function is shown. Which describes an interval that is decreasing?

• between x = –2 and x = 3

• between x = 0 and x = 3

• between x = 0 and x = 5

• between x = 3 and x = 5

Multiple Choice

A function is graphed. Which statement is true?

• The function is linear when x is between –6 and 3.

• The function is linear when x is between –3 and 2.

• The function is linear when x is between –6 and 3 and when x is between 2 and 6.

• The function is linear when x is between –8 and –3 and when x is between 2 and 6.

Multiple Choice

A graph is shown. Which statement is true over the entire interval?

• The function is linear when x is between –11 and 9.

• The function is linear when x is between –8 and 9.

• The function is linear when x is between –4 and 7.

• The function is linear when x is between 1 and 8.

Multiple Choice

A graph is shown. Which interval is a linear function?

• between x = –11 and x = 4

• between x = –8 and x = 0

• between x = –2 and x = 6

• between x = –2 and x = 1

Multiple Choice

A function is shown on the graph. Which statement is true for the entire interval being described?

• The graph is decreasing when x is less than –7.

• The graph is decreasing when x is less than 1.

• The graph is decreasing when x is greater than –7.

• The graph is decreasing when x is greater than 1.

Multiple Choice

Aaron went for a hike.

He began walking at a constant rate.

He eventually stopped to rest.

The next part of the hike was steep, so Aaron hiked at a slower, constant rate.

Next, he stopped for lunch. Lastly, he finished the hike going at a faster rate.

Which graph best represents Aaron’s hike?

Multiple Choice

Mr. Jones was driving on a highway at a constant speed. Which graph represents his speed and driving time?

Multiple Choice

Todd drives on the interstate, then stops for lunch.

After lunch, he reenters the interstate but travels at a slower rate because of increased traffic.

Which graph best matches this description of Todd’s trip?

Multiple Choice

This graph shows the flight of a plane from New York to Los Angeles. At one point, the plane lowered its elevation to avoid a storm. It flew at the safer altitude for a while, then landed.

Which section of the graph represents when the plane descended to a safer altitude?

• section P to Q

• section Q to R

• section R to S

• section T to U

Multiple Choice

An airplane takes off from an airport, flies at a steady height for a short period of time, then descends and lands back at the airport.

Which graph best represents this situation?

Multiple Choice

This graph shows the elevation of an EMS helicopter as it flies to save a patient. Which statement is true?

• The helicopter takes off from ground level at point W.

• The helicopter takes off from a rooftop at point W.

• The helicopter lands on the ground at point Z.

• The helicopter is landing at point Y.

Multiple Choice

Carly went for a walk and jog.

She started walking.

After a few minutes, Carly began jogging at a faster speed than she was walking.

Carly then got tired and slowed down to a slower speed than she was jogging.

Which graph best represents the distance Carly went?

Multiple Choice

The graph below represents a Height (y) vs. Time (x) of an object.

Which scenario best matches the graph?

• A plane takes off, flies at a certain altitude, then lands.

• A plane taxis on the run way, lifts off, ascends to a certain altitude, and flies for a while.

• A plane takes off, ascends to an altitude and flies for a while, then ascends to another altitude, and flies for a while.

• A plane taxis on the run way, lifts off, ascending to a certain altitude, flies for a while, ascends to a higher altitude, and flies at the new altitude.

Multiple Choice

Which graph shows a nonlinear function that is decreasing when x > 0?

Multiple Choice

Which graph shows a function that decreases, increases, and then remains constant?

Multiple Choice

Which graph represents a decreasing linear function?