Sem 1Final exam review

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible x values (inputs) for which the function is defined.

Front

What is the equation for the function g(x) if f(x) = x^3 and g(x) is a transformation of f(x)?

Back

g(x) = (x - 1)^3, which represents a horizontal shift of the function f(x) to the right by 1 unit.

Front

What are x-intercepts?

Back

X-intercepts are the points where the graph of a function crosses the x-axis, which occur when y = 0.

Front

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

Back

To find the x-intercepts of a quadratic function, set the function equal to zero and solve for x.

Front

What does it mean to distribute in an equation?

Back

Distributing means to multiply a term outside the parentheses by each term inside the parentheses.

Front

What is the result of distributing -2(x + 3)?

Back

-2x - 6.

Front

What is another name for the x-intercepts of a quadratic function?

Back

Zeros.

Front

What is a function?

Back

A function is a relation that assigns exactly one output (y value) for each input (x value).

Front

What is the range of a function?

Back

The range of a function is the set of all possible y values (outputs) that the function can produce.

Front

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

Back

A linear function has a constant rate of change and graphs as a straight line, while a quadratic function has a variable rate of change and graphs as a parabola.