Algebra 1 - U4 L1-9 Review

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols, typically in the form f(x), where f is the name of the function and x is the input variable.

Front

How do you evaluate a function at a specific value?

Back

To evaluate a function at a specific value, substitute the value into the function's equation for the variable. For example, if f(x) = 2x + 1, to find f(1), substitute 1 for x: f(1) = 2(1) + 1 = 3.

Front

What does the slope of a linear function represent?

Back

The slope of a linear function represents the rate of change of the function. It indicates how much the output (y) changes for a unit change in the input (x).

Front

What is the y-intercept of a linear function?

Back

The y-intercept of a linear function is the point where the graph of the function crosses the y-axis. It is the value of the function when x = 0.

Front

How do you find the average speed from a distance-time graph?

Back

The average speed can be found by calculating the slope of the line on the distance-time graph. It is the change in distance divided by the change in time.

Front

What is the difference between independent and dependent variables in a function?

Back

The independent variable is the input of the function (often x), while the dependent variable is the output (often y) that depends on the value of the independent variable.

Front

What does the function c(m) = 1.45m + 3.50 represent?

Back

The function c(m) represents the total cost of a taxi ride for m miles, where 1.45 is the cost per mile and 3.50 is the initial fee.

Front

How do you compare the values of two functions at a specific point?

Back

To compare the values of two functions at a specific point, substitute the same value into both functions and evaluate them. The function with the higher result has a greater value.

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as the input (x) increases, the output (f(x)) also increases. This is indicated by a positive slope.