Algebra 1 Midterm Review

Front

What is the range in a function?

Back

The range is the set of all possible output values (y-values) of a function, determined by the function's domain.

Front

What does the transformation s(x) = 7f(x) represent?

Back

This represents a vertical stretch of the function f(x) by a factor of 7.

Front

How do you solve a system of equations using elimination?

Back

You eliminate one variable by adding or subtracting the equations to find the values of the remaining variables.

Front

What does the inequality x < -1 represent on a number line?

Back

It represents all numbers to the left of -1, not including -1 itself.

Front

What is a system of inequalities?

Back

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

Front

How do you graph the inequality y ≥ -x - 1?

Back

Graph the line y = -x - 1 as a solid line and shade above the line.

Front

What is the difference between a solid line and a dashed line in graphing inequalities?

Back

A solid line indicates that points on the line are included in the solution (≥ or ≤), while a dashed line indicates they are not (> or <).

Front

What does the solution (4, 3) represent in a system of equations?

Back

It represents the point where the two equations intersect on a graph.

Front

What is the meaning of the term 'vertical stretch' in transformations?

Back

A vertical stretch occurs when the output values of a function are multiplied by a factor greater than 1, making the graph taller.

Front

How do you identify the range from a graph?

Back

The range can be identified by looking at the lowest and highest points on the graph and determining the y-values.