Semester 1 Final exam Math 3

Front

What is the inverse of the function f(x) = -4x - 12?

Back

f^{-1}(x) = -\frac{1}{4}x - 3

Front

How do you solve the system of equations y = 4x + 1 and 3x + 2y = 13?

Back

The solution is (1, 5).

Front

What is the parent function of an Absolute Value?

Back

The graph of the parent function of an Absolute Value is V-shaped and opens upwards.

Front

What does it mean if a system of equations has an infinite number of solutions?

Back

It means that the equations represent the same line in a graph.

Front

What is the solution to the system of equations 2x + y = 7 and 2x + y = 7?

Back

The solution is (-2, 11).

Front

How do you find the inverse of a function?

Back

To find the inverse, swap x and y in the equation and solve for y.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables.

Front

What does it mean to solve a system by elimination?

Back

It means to eliminate one variable by adding or subtracting the equations.

Front

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

Back

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

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis.