Pre-Calculus HN Semester 1 Exam

Front

What is the composition of functions f(x) = 3x + 10 and g(x) = x - 2 when evaluated at g(0)?

Back

4

Front

Write the expression for the composition g(f(x)) where f(x) = x^2 and g(x) = 2x + 3.

Back

Front

What is the value of cos(θ) if cos(θ) = 3/5?

Back

Front

How do you find the value of a function at a specific point, for example, f(-3)?

Back

Evaluate the function at x = -3.

Front

Which trigonometric function is used to find the ratio of the opposite side to the hypotenuse in a right triangle?

Back

Sine

Front

What is the definition of a function?

Back

A relation that assigns exactly one output for each input.

Front

What is the difference between a linear function and a quadratic function?

Back

A linear function has the form f(x) = mx + b, while a quadratic function has the form f(x) = ax^2 + bx + c.

Front

How do you evaluate f(g(x))?

Back

Substitute g(x) into f(x).

Front

What is the range of the function f(x) = x^2?

Back

The range is [0, ∞) since x^2 is always non-negative.

Front

What is the domain of the function g(x) = 2x + 3?

Back

The domain is all real numbers, ℝ.