Unit 5 Flashcard 2 Review- Functions

Front

What does a graph showing a motorboat's travel likely indicate if it shows steady speed for 10 minutes and then constant speed?

Back

The boat steadily increases its speed for 10 minutes and then travels at a constant speed.

Front

If Liana hikes slowly away from her campsite for 30 minutes, rests for 10 minutes, and then hikes back faster in 20 minutes, how would her distance from the campsite change over time?

Back

The graph would show a slow increase in distance, a flat line during the rest, and a steep decrease when she hikes back.

Front

What equation represents Adrianna's savings if she starts with $20 and adds $5 each week?

Back

y = 5x + 20, where y is the total savings and x is the number of weeks.

Front

How long did it take Sam to get to school if the options are 5 minutes, 20 minutes, 1.25 km, and 1.25 minutes?

Back

20 minutes.

Front

What does a graph showing a stock's value that decreases for 2 weeks, increases for 1 week, and then decreases again for 2 weeks represent?

Back

The graph would show a sharp decline, a brief rise, followed by another decline.

Front

Define a function in mathematics.

Back

A function is a relation that assigns exactly one output for each input.

Front

What is the difference between linear and non-linear functions?

Back

Linear functions create straight-line graphs, while non-linear functions create curves.

Front

What does the slope of a line represent in a graph of a function?

Back

The slope represents the rate of change of the function.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis.

Front

How can you determine if a relation is a function from a graph?

Back

Use the vertical line test: if a vertical line crosses the graph more than once, it is not a function.