### General Information

**Subject Area:**Mathematics

**Grade:**912

**Domain-Subdomain:**Functions: Linear, Quadratic, & Exponential Models

**Cluster:**Construct and compare linear, quadratic, and exponential models and solve problems. (Algebra 1 - Supporting Cluster) (Algebra 2 - Supporting Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

**Date Adopted or Revised:**02/14

**Date of Last Rating:**02/14

**Status:**State Board Approved - Archived

**Assessed:**Yes

### Test Item Specifications

**Assessment Limits :**

Exponential functions represented in graphs or tables should be able to be written in the form a + k.

For exponential relationships, tables or graphs must contain at least one pair of consecutive values.

**Calculator :**

Neutral

**Clarification :**

Students will compare a linear function and an exponential function

given in real-world context by interpreting the functions’ graphs.

Students will compare a linear function and an exponential function

given in a real-world context through tables.

Students will compare a quadratic function and an exponential

function given in real-world context by interpreting the functions’

graphs.

Students will compare a quadratic function and an exponential

function given in a real-world context through tables

**Stimulus Attributes :**

Items should give a graph or a table.

Items should be given in a real-world context.

Items must use function notation

**Response Attributes :**

Items may require the student to apply the basic modeling cycle.

Items may require the student to choose an appropriate level of

accuracy.

Items may require the student to choose and interpret the scale in a

graph.

Items may require the student to choose and interpret units

### Sample Test Items (1)

Test Item # |
Question |
Difficulty |
Type |

Sample Item 1 | The function f(x) models the value of goods that are imported into the United States, where x is the number of years since 1990. The function g(x) models the value of goods that are exported from the United States. If f(x) and g(x) continue to model the importing and exporting of goods, then sometime in 2041, which is 51 years after 1990, f(x)=g(x). Determine which function is exponential. Use the table of values to justify your answer. Type your answer in the space provided. Be sure to include your function choice. |
N/A | OR: Open Response |