Functions (general)

Find the Domain of the function.
 $f\left(x\right)=\sqrt{x-3}$  

•  $x\ =3$  

•  $x>-3$  

•  $x\ge3$  

•  $x\ne3$  

What is the domain of the function?

• All real numbers except 3

• All real numbers except 3 and 1

• All real numbers except 3 and -2

• All real numbers except 3 and -4

What is the function that matches this

domain and range?

• $f\left(x\right)=\left|x\right|$

• 
• $f\left(x\right)=\sqrt{x}$

• $f\left(x\right)=\frac{1}{x}$

• {y ∣ y ≥ 1}

• {y ∣ y ≥ -1}

• {y∣ y ≥ -3}

• {y ∣ y ≤ -3}

Leslie's car travels about 25 miles per gallon of gas. Her car needs 14 gallons of gas to be full. What is a reasonable domain?

2. Susan earns 0.5% interest annually  in her savings account. She can model her savings account balance after earning interest for a year as f(x) = x + 0.005x, or just f(x) = 1.005x, where x is the account balance.

3. What is the domain of this function?

What's the range of y = cot x

• 
• 
• 
• 

Identify the domain of the absolute value function f(x) = |x - 7|.

• All real numbers

• Only positive numbers

• Rational numbers

• Integers