Semester Exam PreCalculus

Front

What is the equation of the graph for the function that has a maximum amplitude of 2?

Back

y = 2 sin x

Front

Match the graph to the function: f(x) = -x^3 + 2

Back

This function represents a cubic graph that opens downwards with a y-intercept at 2.

Front

What is the period of the function y = 4cos(5x)?

Back

Front

What is the value of cos(30°) based on the unit circle?

Back

Front

Back

Front

What is the definition of a function's period?

Back

The period of a function is the smallest positive value T such that f(x + T) = f(x) for all x in the domain.

Front

What is the amplitude of the function y = 3cos(x)?

Back

The amplitude is 3.

Front

How do you find the x-intercepts of a quadratic function?

Back

Set the function equal to zero and solve for x using the quadratic formula or factoring.

Front

What is the vertex form of a quadratic function?

Back

The vertex form is given by f(x) = a(x - h)^2 + k, where (h, k) is the vertex.

Front

What is the definition of a rational function?

Back

A rational function is a function that can be expressed as the ratio of two polynomials.