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

What is the vertical line test?

Back

The vertical line test is a method to determine if a relation is a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

Evaluate the function f(x) = 3x^2 - 5 at x = 1/3.

Back

f(1/3) = 3(1/3)^2 - 5 = -4.67.

Front

What does the function C(m) = 0.55m + 5 represent?

Back

C(m) represents the cost of a cab ride in dollars, where m is the distance in miles.

Front

Calculate the cost of a cab ride if the distance is 18 miles using C(m).

Back

C(18) = 0.55(18) + 5 = $14.90.

Front

What are ordered pairs in a relation?

Back

Ordered pairs are pairs of numbers (x, y) that represent the input and output of a function or relation.

Front

Identify if the relation {(7,2), (0,6), (-2,1), (-5,0), (-5,-4), (3,-4)} is a function.

Back

No, it is not a function because the input -5 has two different outputs (0 and -4).

Front

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

Back

f(5) = 3(5)^2 - 5 = 0.

Front

What is the significance of the slope in a linear function?

Back

The slope indicates the rate of change of the function; it shows how much the output changes for a unit change in the input.

Front

What is the y-intercept of a linear function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, represented as (0, b) in the equation y = mx + b.