Task Sets: Compare properties of two functions each represented in a different way - Common Core Math - Grade 8

Warm-Up: Review What You Know

These problems review skills you already have.

$A straight line on a coordinate grid with two points marked on it.$

The graph shown is a line passing through the points $(1, 2)$ and $(4, 8)$ . What is the slope (rise over run) of the line?

$2$

$3$

$6$

$\frac{1}{2}$

In the equation $y = 7x - 4$ , what is the rate of change (the slope)?

$7$

$-4$

$3$

$4$

In the equation $y = 2x + 9$ , what is the initial value (the output when $x = 0$ )?

Fluency Practice

Extract the requested property from each representation.

$A two-column table with header x and y and four rows of values.$

The table shown gives input-output values for a linear function. What is its rate of change?

$A two-column table with header x and y and four rows where x rises by 2 each row.$

The table shown gives input-output values for a linear function. Notice that $x$ increases by 2 each row. What is the rate of change?

A verbal description says: "The water level in a tank drops 3 inches every 2 hours." What is the rate of change of the water level, in inches per hour?

$-1.5$

$-3$

$1.5$

$-6$

$A straight line on a coordinate grid with two points marked on it.$

The graph shown is a line passing through the points $(0, 1)$ and $(2, 7)$ . What is its rate of change?

$A straight line on a coordinate grid with the point where it crosses the vertical axis marked.$

The graph shown is a line that crosses the y-axis. What is the initial value of this function?

$2$

$8$

$3$

$0$

Exercises: Compare Properties of Two Functions Each Represented in a Different Way

Warm-Up: Review What You Know

Fluency Practice