Optional parameters in Typescript - Time & Space Complexity

Time Complexity: Optional parameters

O(n)

Understanding Time Complexity

We want to see how adding optional parameters affects how long a function takes to run.

Does having optional inputs change the work the function does as input grows?

Scenario Under Consideration

Analyze the time complexity of the following code snippet.

function greet(name: string, title?: string) {
  if (title) {
    return `Hello, ${title} ${name}!`;
  }
  return `Hello, ${name}!`;
}

const names = ["Alice", "Bob", "Charlie"];
for (const n of names) {
  console.log(greet(n));
}
    

This code greets each name in a list, optionally adding a title if provided.

Identify Repeating Operations

Identify the loops, recursion, array traversals that repeat.

• Primary operation: Looping through the array of names and calling the greet function once per name.
• How many times: Once for each name in the list (n times).

How Execution Grows With Input

Each new name adds one more call to the greet function, which does a simple check and returns a string.

Input Size (n)	Approx. Operations
10	About 10 greetings
100	About 100 greetings
1000	About 1000 greetings

Pattern observation: The work grows directly with the number of names; doubling names doubles work.

Final Time Complexity

Time Complexity: O(n)

This means the time to run grows in a straight line with the number of names, regardless of optional parameters.

Common Mistake

[X] Wrong: "Adding optional parameters makes the function slower for each call."

[OK] Correct: Optional parameters only add a simple check inside the function, which does not grow with input size, so they do not change the overall time growth.

Interview Connect

Understanding how optional parameters affect time helps you explain function behavior clearly and shows you know how input size relates to work done.

Self-Check

"What if the greet function also loops through a list inside it? How would the time complexity change?"

Practice

1.

What does it mean when a function parameter in TypeScript is marked as optional with a ??

easy

A. The parameter is automatically set to zero.

B. You can call the function without providing that parameter.

C. The parameter is ignored inside the function.

D. The parameter must always be provided when calling the function.

Solution

1. Step 1: Understand optional parameter meaning

   In TypeScript, a parameter marked with ? means it is optional and can be skipped when calling the function.

2. Step 2: Compare with required parameters

   Required parameters must be given, but optional ones can be left out without error.

3. Final Answer:

   You can call the function without providing that parameter. -> Option B

4. Quick Check:

   Optional parameter means you can skip it [OK]

Hint: Optional parameters can be left out when calling functions [OK]

Common Mistakes:

• Thinking optional means parameter is ignored
• Assuming optional parameters must be last but not knowing why
• Confusing optional with default parameters

2.

Which of the following is the correct way to declare a function with an optional parameter age of type number in TypeScript?

easy

A. function greet(name: string, age: number?) {}

B. function greet(name: string, ?age: number) {}

C. function greet(name: string, age?: number) {}

D. function greet(name: string, age: optional number) {}

Solution

1. Step 1: Recall optional parameter syntax

   In TypeScript, optional parameters are declared by adding ? after the parameter name, before the colon and type.

2. Step 2: Check each option

   function greet(name: string, age?: number) {} uses age?: number, which is correct. Options B, C, and D use invalid syntax.

3. Final Answer:

   function greet(name: string, age?: number) {} -> Option C

4. Quick Check:

   Optional parameter syntax = paramName?: type [OK]

Hint: Use ? right after parameter name for optional [OK]

Common Mistakes:

• Placing ? after the type instead of the name
• Using invalid keywords like 'optional'
• Putting ? before parameter name

3.

What will be the output of this TypeScript code?

function multiply(a: number, b?: number) {
  return b ? a * b : a * 2;
}
console.log(multiply(5));
console.log(multiply(5, 3));

medium

A. 10 and 15

B. 5 and 15

C. 10 and 8

D. Error because b is optional

Solution

1. Step 1: Analyze function behavior with optional parameter

   If b is provided, return a * b. Otherwise, return a * 2.

2. Step 2: Evaluate calls

   First call: multiply(5) means b is undefined, so returns 5 * 2 = 10. Second call: multiply(5, 3) returns 5 * 3 = 15.

3. Final Answer:

   10 and 15 -> Option A

4. Quick Check:

   Optional param missing uses default logic [OK]

Hint: Optional param missing triggers alternate logic in function [OK]

Common Mistakes:

• Assuming missing optional param causes error
• Confusing default value with optional parameter
• Misreading ternary condition

4.

Identify the error in this TypeScript function declaration:

function logMessage(message?: string, level: string) {
  console.log(`[${level}] ${message}`);
}

medium

A. Optional parameter must be last in the parameter list.

B. Optional parameters cannot be strings.

C. Function must return a value if it has optional parameters.

D. No error, this is valid syntax.

Solution

1. Step 1: Recall rule about optional parameters order

   In TypeScript, optional parameters must come after all required parameters.

2. Step 2: Check parameter order

   Here, message? is optional but placed before required level. This causes a syntax error.

3. Final Answer:

   Optional parameter must be last in the parameter list. -> Option A

4. Quick Check:

   Optional params must be last [OK]

Hint: Put all optional parameters after required ones [OK]

Common Mistakes:

• Placing optional parameters before required ones
• Thinking optional means default value
• Ignoring TypeScript syntax rules

5.

You want to write a function createUser that takes a required username and an optional age. If age is not provided, it should default to 18. Which of these is the best way to declare the function?

hard

A. function createUser(username: string, age?: number = 18) {}

B. function createUser(username: string, age?: number) { age = 18; }

C. function createUser(username: string, age?: number) { if (!age) age = 18; }

D. function createUser(username: string, age: number = 18) {}

Solution

1. Step 1: Understand difference between optional and default parameters

   Optional parameters can be omitted but have no default value unless assigned. Default parameters have a default value and are optional by nature.

2. Step 2: Check syntax and behavior

   function createUser(username: string, age: number = 18) {} correctly uses a default parameter age: number = 18, which means if age is omitted, it defaults to 18. function createUser(username: string, age?: number = 18) {} (age?: number = 18) is valid syntax but the ? is redundant since default parameters are already optional. Options B and D do not set default properly and may cause issues.

3. Final Answer:

   function createUser(username: string, age: number = 18) {} -> Option D

4. Quick Check:

   Use default parameter for optional with default value [OK]

Hint: Use default parameter syntax for optional with default [OK]

Common Mistakes:

• Using redundant ? with default parameter syntax
• Setting default inside function body incorrectly
• Confusing optional and default parameters