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NY-F.IF.6
Algebra IInterpreting Functions70 target questions

Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.

Sample Practice Questions (3)

1
The graph of a function is shown below. Estimate the average rate of change of over the interval .
-5 -4 -3 -2 -1 1 2 3 4 5 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 x y
A
B
C
D
Multiple choice · diagramSee Answer + Explanation →
2
The graph of a function is shown below. Over which interval is the average rate of change the greatest?
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 x y
A
B
C
D
Multiple choice · diagramSee Answer + Explanation →
3
Look at the graph of the function shown below. What is the average rate of change of over the interval ?
-3 -2 -1 1 2 3 -5 -4 -3 -2 -1 1 2 3 4 5 x y (0, -4)
A
B
C
D
Multiple choice · diagramSee Answer + Explanation →
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More Algebra I Standards

NY-A.SSE.1aInterpret parts of an expression such as terms factors and coefficients in context.→NY-A.SSE.1bInterpret complicated expressions by viewing one or more of their parts as a single entity.→NY-A.SSE.2Use the structure of an expression to identify ways to rewrite it. For example see x⁴ - y⁴ as (x²)² - (y²)² and factor accordingly.→NY-A.SSE.3aFactor a quadratic expression to reveal the zeros of the function it defines.→
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