Review Algebra 1 Unit 4 Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as f(x) where x is the input.

Front

Evaluate the function f(x) = 2x + 1 at x = 3.

Back

f(3) = 2(3) + 1 = 7.

Front

What is the y-intercept of a function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, represented as (0, f(0)).

Front

How do you find the average rate of change of a function between two points?

Back

The average rate of change is calculated as (f(b) - f(a)) / (b - a) for points a and b.

Front

What does H(t) = 25 mean in the context of a function?

Back

It means that when the input t is substituted into the function H, the output is 25.

Front

If T(m) = 30, how do you find the value of m?

Back

You need to solve the equation T(m) = 30 for m.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of a line?

Back

The slope is a measure of the steepness of a line, calculated as the change in y divided by the change in x (rise/run).