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NY-F.LE.1
Algebra ILinear and Exponential Models80 target questions

Distinguish between situations that can be modeled with linear functions and with exponential functions. Recognize that linear functions grow by equal differences over equal intervals and exponential functions grow by equal factors over equal intervals.

Sample Practice Questions (3)

1
The graph shows two functions, and . Which statement best describes the growth of these functions?
-5 -4 -3 -2 -1 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 x y f(x) g(x)
ABoth and represent linear growth.
BBoth and represent exponential growth.
C represents linear growth, and represents exponential growth.
D represents exponential growth, and represents linear growth.
Multiple choice · diagramSee Answer + Explanation →
2
The graph below shows two functions, and . Which function represents a linear relationship and which represents an exponential relationship?
-5 -4 -3 -2 -1 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 x y f(x) g(x)
A is linear, is exponential
B is exponential, is linear
CBoth and are linear
DBoth and are exponential
Multiple choice · diagramSee Answer + Explanation →
3
Which of the following graphs represents a situation where a quantity grows by equal differences over equal intervals?
-5 -4 -3 -2 -1 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 x y
AA curve that gets steeper as increases.
BA straight line with a positive slope.
CA curve that levels off as increases.
DA horizontal line at .
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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