A function that is described by two or more expressions depending on the domain is called:

Which set of ordered pairs represents a function?

Which of the following real-life situations can be modeled by a piecewise function?

A ride-hailing service charges ₱50 as a base fare plus ₱20 per kilometer. Which function represents the total cost T(x) for traveling x kilometers?

The function C(x) = (x – 32)(5/9) converts Fahrenheit x to Celsius C(x). What is the Celsius temperature if it is 95°F?

What is a piecewise function?

How do you determine the value of a piecewise function at a specific point?

What does the notation h(x) = 2x – 5 mean?

To evaluate a function means:

Which of the following is a linear function?

The vertical line test is used to:

Given f(x) = 5x – 2, find f(3) and f(7).

If h(t) = t² + 2t, find h(4) and h(–1).

For f(x) = (x − 3)/(x + 2), find f(1) and f(2).

The function q(a) = 2a² + a − 5 is given. Find q(2) and q(−2).

If m(t) = 4t − 6, find m(8) and m(−1).

The function h(y) = y² − 2y + 1 is evaluated at y = 0 and y = 4. The results are h(0) = 1 and h(4) = 9. Which statement is correct?

Given f(x) = 3x + 2, the outputs for x = −2 and x = 5 are −4 and 17, respectively. What can you conclude from these results?

The function g(x) = x² − 2x + 4 was evaluated as follows: For x = 2, g(2) = 2² − 2(2) + 4 = 4 − 4 + 4 = 4. Identify if this evaluation is correct.

Given h(x) = 3x − 1, compare the outputs when x = 6 and when x = −3. How does the change in x affect the function’s output?

A student claims that the function p(x) = 4x + 5 evaluated at x = 3 gives 20. Evaluate this claim.

Two students, Liza and Mark, evaluated the function f(x) = x² + 2x at x = 4. Liza’s result was 24, while Mark’s was 20. Evaluate both answers.

What does the product of two functions (f·g)(x) represent?

What does the quotient of two functions (f/g)(x) represent?

If f(x) = 2x + 1 and g(x) = x² − 4, find (f + g)(x).

Given f(x) = 5x − 7 and g(x) = 2x + 3, find (f − g)(x).

If f(x) = x + 4 and g(x) = 3x − 2, find (f⋅g)(x).

Given f(x) = x² − 16 and g(x) = x − 4, find (f/g)(x).

If f(x) = 2x − 1 and g(x) = x + 3, find (f∘g)(x).

If f(x) = x² and g(x) = 3x, find (f+g)(2).

Given f(x) = 4x + 1 and g(x) = x², evaluate (f − g)(3).

If f(x) = 2x and g(x) = 6 − x, what is (f⋅g)(3)?

If f(x) = 3x − 2 and g(x) = x², then (f − g)(x) = 3x − 2 − x². Evaluate this expression for x = 4.

Given f(x) = x - 2 and g(x) = 3x + 1, what is (f ⋅ g)(1)?

Given f(x) = 2x^2 - 1 and g(x) = x + 4, what is (f + g)(2)?