Fall 2024: Unit 13 Test Comparing Functions

Front

What is a linear function?

Back

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

Front

What is the difference between linear and exponential growth?

Back

Linear growth increases by a constant amount over equal intervals, while exponential growth increases by a constant percentage over equal intervals.

Front

What does the slope of a linear function represent?

Back

The slope represents the rate of change of the function; it indicates how much y changes for a unit change in x.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0; it is the point where the line crosses the y-axis.

Front

How do you identify a linear graph?

Back

A linear graph will form a straight line when plotted on a coordinate plane.

Front

What is an initial fee in a cost function?

Back

The initial fee is a fixed cost that must be paid before any additional costs, such as monthly fees, are incurred.

Front

What does it mean for a function to shift left?

Back

A shift left means that the graph of the function moves horizontally to the left on the coordinate plane, typically represented by a change in the x-value.

Front

What is exponential growth?

Back

Exponential growth occurs when a quantity increases by a fixed percentage over equal time intervals, resulting in a rapid increase.

Front

What is the equation for exponential growth?

Back

The general form of an exponential growth function is y = a(1 + r)^t, where a is the initial amount, r is the growth rate, and t is time.

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically expressed in the form y = ax^2 + bx + c.