STAAR REVIEW 1

DIXI and ROYD

Domain ----- Range

Input ----- Output

X-values ----- Y-values

Independent variable ----- Dependent variable

Open circle = less than or greater than

Closed circle = less than or equal to, or greater than or equal to

• A

• B

• C

• D

Answer explanation

The correct choice is B because it accurately describes the relationship between the domain (input) and range (output) in a function, where x-values are independent and y-values are dependent.

The price depends upon the number of hours the pool was rented for.

Domain - Independent variable (x-values)

Range - Dependent variable (y-values)

• A

• B

• C

• D

Answer explanation

The price of renting the pool is determined by the number of hours (independent variable), making the hours the domain. The resulting price (dependent variable) is the range. Therefore, the correct choice is B.

• A

• B

• C

• D

DIXI and ROYD

Continuous function (the points are connected - lines) - use inequality notation to show DOMAIN and RANGE

Discrete function (the points are disconnected) - use lists to show DOMAIN and RANGE

• F

• G

• H

• J

Answer explanation

The question asks for the domain and range of continuous and discrete functions. Choice G correctly represents the continuous function with inequality notation for domain and range, while the others do not meet the criteria.

DIXI and ROYD

LESS - LEFT

GREATER - RIGHT

Open Circle - less or greater

Closed Circle - less than or equal to or greater than or equal to

• A

• B

• C

• D

Answer explanation

The question uses DIXI and ROYD to represent values. The terms LESS and GREATER correspond to LEFT and RIGHT, respectively. The correct choice B aligns with the definitions provided, indicating the proper relationship between the values.

DIXI and ROYD

Continuous function (the points are connected - lines) - use inequality notation to show DOMAIN and RANGE

Discrete function (the points are disconnected) - use lists to show DOMAIN and RANGE

• A

• B

• C

• D

Answer explanation

Choice B correctly identifies the continuous function DIXI and the discrete function ROYD. Continuous functions use inequality notation for DOMAIN and RANGE, while discrete functions use lists, aligning with the question's requirements.

Is this a continuous or discrete function?

• Continuous because the points are disconnected.

• Discrete because the points are disconnected.

• Discrete because the points are connected.

• It is not a function, it is a monster.

Answer explanation

The correct choice is 'Discrete because the points are disconnected.' A discrete function consists of distinct, separate points, while a continuous function has connected points without breaks.

Is y = 24 part of the range of this function?

• Yes, because it is on the y-axis.

• No, because y = 24 is part of the domain.

• No, because the smallest value of the range is 48.

• No, because 24 does not appear on the x-axis.

Answer explanation

The correct answer is 'No, because the smallest value of the range is 48.' This indicates that y = 24 is not included in the range, as all values in the range are greater than or equal to 48.

What is the slope of the graph?

Slope = Rise/Run

• m = 9/13

• m = -9/13

• m = 13/9

• m = -13/9

Answer explanation

The slope is calculated as Rise/Run. Given the values, the correct calculation yields m = 9/13, indicating a positive slope. Thus, the correct answer is m = 9/13.

This is a continuous graph!

• TRUE

• FALSE

Answer explanation

The statement indicates that the graph is continuous, which means it has no breaks or gaps. Therefore, the correct answer is TRUE.