Alg1 3.3-3.5 Review

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input from its domain.

Front

In the notation f(x), what does 'x' represent?

Back

In the notation f(x), 'x' represents the input value or independent variable.

Front

What is the output of the function f(x) = x^2 + 2x + 5 when x = -3?

Back

The output is 8.

Front

How do you find f(3) for the function f(x) = x^2 - 5?

Back

Substitute 3 into the function: f(3) = 3^2 - 5 = 4.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

Given the equation y = x + 4, what is the y-intercept?

Back

The y-intercept is 4.

Front

If f(x) = -4x - 5, what is f(1)?

Back

f(1) = -4(1) - 5 = -9.

Front

What is the value of g(-4) if g(x) = 3 - x?

Back

g(-4) = 3 - (-4) = 7.

Front

What does it mean for a function to be linear?

Back

A function is linear if it can be graphically represented as a straight line.

Front

What is the domain of a function?

Back

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