I1- Semester 1 Midterm review

Front

What is the range of a graph?

Back

The range of a graph is the set of all possible output values (y-values) that a function can produce. For example, if the range is y ≥ 0, it means the function can produce all values starting from 0 and going upwards.

Front

How do you find the x-value when given a function f(x) and a specific output?

Back

To find the x-value for a given output, set the function equal to that output and solve for x. For example, if f(x) = -4x - 10 and f(x) = 10, you would solve -4x - 10 = 10.

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant. For example, in the sequence 8, 7.3, 6.6, 5.9, the common difference is -0.7.

Front

What is the formula for the nth term of an arithmetic sequence?

Back

The nth term of an arithmetic sequence can be found using the formula: a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

What is the property of exponents when dividing like bases?

Back

When dividing like bases, you subtract the exponents. For example, 8⁷ / 8² = 8^(7-2) = 8⁵.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line. It can be expressed in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness and is calculated as the rise over run (change in y over change in x). A positive slope means the line rises, while a negative slope means it falls.

Front

What is the y-intercept of a linear function?

Back

The y-intercept of a linear function is the point where the line crosses the y-axis. It is represented by the value of b in the equation f(x) = mx + b.

Front

How do you determine the range of a function from its graph?

Back

To determine the range of a function from its graph, identify the lowest and highest y-values that the graph reaches. This gives you the set of output values.

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) is associated with exactly one output (y-value). In contrast, a relation can have multiple outputs for a single input.