Review Chapter 3 Test

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input.

Front

How can you determine if a relation is a function?

Back

A relation is a function if no two ordered pairs have the same first element with different second elements.

Front

What does f(x) represent in a function?

Back

f(x) represents the output of the function for a given input x, often denoted as y.

Front

What is the value of f(x) when f(x) = x - 5 and x = -2?

Back

f(-2) = -2 - 5 = -7.

Front

If f(x) = 3x - 12, how do you find the value of x when f(x) = -6?

Back

Set 3x - 12 = -6, then solve for x: 3x = 6, x = 2.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function by checking if any vertical line intersects the curve at more than one point.

Front

What is the domain of a function?

Back

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

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form f(x) = mx + b.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.