Algebra: 3.3-3.6 Assessment Review

Front

What does the point (6, -7) on the graph of the function y=f(x) indicate?

Back

f(6) = -7, meaning when x=6, the output of the function is -7.

Front

Is the function y=x^2-6 linear or nonlinear?

Back

Nonlinear, because it contains a variable raised to a power greater than 1.

Front

If g(x)=3x-2, what is the value of x when g(x)=10?

Back

x=4, because 3(4)-2=10.

Front

What is a linear function?

Back

A function that can be expressed in the form y=mx+b, where m and b are constants.

Front

What is a nonlinear function?

Back

A function that cannot be expressed in the form y=mx+b, often involving exponents, roots, or other operations.

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 of a linear function?

Back

The y-intercept is the value of y when x=0, represented as (0, b) in the equation y=mx+b.

Front

How do you determine if a function is linear from its graph?

Back

If the graph is a straight line, the function is linear.

Front

What is the standard form of a linear equation?

Back

Ax + By = C, where A, B, and C are constants.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input (x-value) has exactly one output (y-value).