Math 1 | Midterm Review

Front

What is the solution to the equation 2x + 3 = 5?

Back

The solution is x = 1.

Front

Define 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 are the domains for the function f(x) = 1/(x-2)?

Back

The domain is all real numbers except x = 2.

Front

Solve for k in the equation 96 = 6(k + 8).

Back

k = 8.

Front

What is the domain of the function f(x) = x^2 - 4?

Back

The domain is all real numbers.

Front

What does it mean for a function to be continuous?

Back

A function is continuous if there are no breaks, jumps, or holes in its graph.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has exactly one output.

Front

What is the vertical line test?

Back

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

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 y-intercept of the line represented by the equation y = 3x + 2?

Back

The y-intercept is 2.