School Improvement in Maryland

Public Release Item: Public Release items have appeared on HSA forms and then are released for public viewing and use. Releasing items is one step to ensuring that schools, districts, and other stakeholders understand how the core learning goals are assessed on the HSA.

Goal 1 Functions and Algebra

Expectation 1.1 The student will analyze a wide variety of patterns and functional relationships using the language of mathematics and appropriate technology.

Indicator 1.1.4 The student will describe the graph of a non-linear function and discuss its appearance in terms of the basic concepts of maxima and minima, zeros (roots), rate of change, domain and range, and continuity.

Assessment Limits:

  • A coordinate graph will be given with easily read coordinates.
  • “Zeros” refers to the x-intercepts of a graph, “roots” refers to the solution of an equation in the form p(x) = 0.
  • Problems will not involve a real-world context.

Selected Response Item - Released in 2004

Look at the function that is graphed below.

Which of these represents the number of zeros of this function?

  1. 0
  2. 1
  3. 2
  4. 3
/share/clg/xml/public_release/mathematics/2004_114_alg16.xml

Correct Answer:
D

Selected Response Item - Released in 2004

Look at the function that is graphed below.

What is the range of this function?

  1. -7 y 4
  2. -6 y 8
  3. -5 y 7
  4. -2 y 5
/share/clg/xml/public_release/mathematics/2004_114_alg26.xml

Correct Answer:
A

Student Produced Response (SPR) Item - Released in 2001

For the following, enter your answer in the box below.
Look at the graph below.
What is the y value when x is 15?

/share/clg/xml/public_release/mathematics/2001_114_alg06.xml

Correct Answer:
6

Selected Response Item - Released in 2003

Look at the function that is graphed below.

What is the range of this function?

/share/clg/xml/public_release/mathematics/2003_114_alg02.xml

Correct Answer:
B

Selected Response Item - Released in 2003

Look at the function that is graphed below.

For what value of x is this function not continuous?

  1. 2
  2. 3
  3. 4
  4. 5
/share/clg/xml/public_release/mathematics/2003_114_alg33.xml

Correct Answer:
D

Selected Response Item - Released in 2002

Look at the graph below.

What is the x-value of the point where the graph is not continuous?

  1. -3
  2. -2
  3. 0
  4. 3
/share/clg/xml/public_release/mathematics/2002_114_alg27.xml

Correct Answer:
D

Selected Response Item - Released in 2005

Look at the function that is graphed below.

What is the greatest rate of increase of this function?

  1. 3
    5
  2. 3
    2
  3. 2
  4. 5
/share/clg/xml/public_release/mathematics/2005_114_alg04.xml

Correct Answer:
C

Student Produced Response (SPR) Item - Released in 2000

Look at the function that is graphed below.

What is the zero of this function?

/share/clg/xml/public_release/mathematics/2000_114_alg31.xml

Correct Answer:
5.9 to 6.1

Selected Response Item - Released in 2001

The function  f (x) = x2 – x – 6 is graphed on the grid below.
What are the zeros of this function?

  1. –2 and 3
  2. 0 and –6
  3. ½ and –6¼
  4. –½ and 6¼
/share/clg/xml/public_release/mathematics/2001_114_alg21.xml

Correct Answer:
A

Selected Response Item - Released in 2001

Look at the graph below.
Which of these terms describes the y–coordinate of the point (2, 6)?

  1. zero
  2. intercept
  3. minimum
  4. maximum
/share/clg/xml/public_release/mathematics/2001_114_alg44.xml

Correct Answer:
D

Selected Response Item - Released in 2002

Look at the function that is graphed below.

Which of these statements about this function is true?

  1. The minimum value is 2.
  2. The minimum value is 3.
  3. The maximum value is 3.
  4. The maximum value is 5.
/share/clg/xml/public_release/mathematics/2002_114_alg26.xml

Correct Answer:
B

Selected Response Item - Released in 2005

Look at the function that is graphed below.

What is the maximum value of this function?

  1. -2
  2. 1
  3. 8
  4. 9
/share/clg/xml/public_release/mathematics/2005_114_alg10.xml

Correct Answer:
C

Selected Response Item - Released in 2006

Look at the function that is graphed below.

What is the domain of this function?

  1. 0 ≤ x ≤ 5
  2. 0 ≤ x ≤ 8
  3. 0 ≤ y ≤ 1
  4. 0 ≤ y ≤ 6
/share/clg/xml/public_release/mathematics/2006_114_alg19.xml

Correct Answer:
B

Selected Response Item - Released in 2006

Look at the function that is graphed below.

What is the maximum value of this function?

  1. 5
  2. 6
  3. 7
  4. 8
/share/clg/xml/public_release/mathematics/2006_114_alg22.xml

Correct Answer:
C

Selected Response Item - Released in 2007

Look at the function that is graphed below.

What is the maximum value of this function?

  1. 2
  2. 3
  3. 5
  4. 6
/share/clg/xml/public_release/mathematics/2007_114_alg09.xml

Correct Answer:
C

Selected Response Item - Released in 2007

Which of these graphs shows a function that is not continuous at x = 2?





/share/clg/xml/public_release/mathematics/2007_114_alg16.xml

Correct Answer:
D
Resources for 1.1.4:
Skill Statements | PUBLIC RELEASE ITEMS |