Domain and Range Precalculus

What is the DOMAIN?

• (-∞, +∞)

• (-∞, -1] U [3, +∞)

• [-1, +∞)

• (-1, 0] U (0, +∞)

What is the RANGE?

• (-∞, +∞)

• (-∞, -1] U [3, +∞)

• [-1, +∞)

• (-1, -∞)

What is the domain?

• [-4, 5)

• (-4, 5)

• [-4, 5]

• (-4, 5]

What is the domain? 

• (-∞,-5)U(-5,5)U(5,∞)

• (-∞,-5)U(-5,4)U(4,∞)

• (-∞,-4)U(-4,5)U(5,∞)

• (-∞,-4)U(5,∞)

• D: {0, 1, 2, 3, 4, 5}

• R: {0, 96, 192, 288, 384, 480}

• D: all real numbers

• R: {0, 1, 2, 3, 4, 5}

• : {0, 96, 192, 288, 384, 480}

• D: {0, 96, 192, 288, 384, 480}

• R: all real numbers

Answer explanation

Domain - x values

Range - y values

Real-world examples = apply common sense and judgements

A student borrowed $480 from a friend. He agreed to make monthly payments of $96 with no interest until the loan balance was paid off. The function shown models this situation, where f(x) represents the remaining loan balance in dollars after the student has made x monthly payments. Which statements are true about the domain and range of the function for this situation? Select the correct answers.

• D: {0, 1, 2, 3, 4, 5}

• R: {0, 96, 192, 288, 384, 480}

• D: all real numbers

• R: {0, 1, 2, 3, 4, 5}

• : {0, 96, 192, 288, 384, 480}

• D: {0, 96, 192, 288, 384, 480}

• R: all real numbers

Answer explanation

Domain - x values

Range - y values

Real-world examples = apply common sense and judgements

Select TWO correct answers.

Domain

​ (a)  

Range

​ (b)  

• The domain of the function is {0,1,2,3,4,5}

• The range of the function {0,96,192,288,384,480}

• The domain of the function is all real numbers

• The domain of the function {0,96,192,288,384,480}

• The range of the function {0,1,2,3,4,5}

• The range of the function is all real numbers.

Identify the domain:
f(x) = 1 / (x - 5) 
OR  f(x) = (x - 5)^-1

• [5, oo)

• (5, oo)

• (-oo, oo)

• (-∞,5) (5,∞)

What is the domain of:

• All real numbers

• x ≠ -5/9

• x < -5/9

• x > -5/9

Find the domain of f(x)

• (-∞, ∞)

• [3,∞)

• (-∞,3]

• (3,∞)

• (-∞,3)