InkLoop/NYS Standards/NY-8.F.2NY-8.F.2
8th GradeFunctions60 target questions
Compare properties of two functions each represented in a different way (algebraically graphically numerically in tables or by verbal descriptions).
Sample Practice Questions (3)
1
Compare the rate of change for Function A (shown in the graph) and Function B (shown in the table). Which statement is true?
| x | y |
|---|---|
| 1 | 4 |
| 2 | 8 |
| 3 | 12 |
AFunction A has a rate of change of 5, which is greater than Function B's rate of change of 4.
BFunction B has a rate of change of 8, which is greater than Function A's rate of change of 5.
CFunction A and Function B have the same rate of change.
DFunction B has a rate of change of 4, which is greater than Function A's rate of change of 2.
Multiple choice · diagram · tableSee Answer + Explanation →
2
Car A's distance over time is shown in the table below. Car B's distance over time is shown in the graph below. Which car is traveling at a faster speed?
| Time (hours) | Distance (miles) |
|---|---|
| 2 | 120 |
| 3 | 180 |
| 4 | 240 |
ACar A
BCar B
CBoth cars are traveling at the same speed
DCar A is traveling at 55 miles per hour
Multiple choice · diagram · tableSee Answer + Explanation →
3
Look at the graph of Function M and the table for Function P below. Which function has the smaller y-intercept?
| x | y (Function P) |
|---|---|
| 0 | 4 |
| 1 | 6 |
| 2 | 8 |
AFunction M, because its y-intercept is .
BFunction P, because its y-intercept is .
CFunction M, because its y-intercept is .
DBoth functions have the same y-intercept.
Multiple choice · diagram · tableSee Answer + Explanation →
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NY-8.NS.1Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually and convert a decimal expansion which repeats into a rational number.→NY-8.NS.2Use rational approximations of irrational numbers to compare the size of irrational numbers. Locate them approximately on a number line diagram and estimate the value of expressions.→NY-8.EE.1Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example 3² × 3⁻⁵ = 3⁻³ = 1/27.→NY-8.EE.2Use square root and cube root symbols to represent solutions to equations of the form x² = p and x³ = p where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes.→