Algebra 1 Unit 2 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 the function can produce. For example, if the range is y≥1, it means the function outputs values starting from 1 and going upwards.

Front

Which of the following sequences is NOT an arithmetic sequence? 1) 25, 13, 1, –11, –23 2) 9, 15, 21, 27, 33 3) –12, –4, 4, 12, 20, 28 4) –4, 5, 18, 35, 56, 81

Back

The sequence –4, 5, 18, 35, 56, 81 is NOT an arithmetic sequence because the differences between consecutive terms are not constant.

Front

What variable represents the y-intercept in a linear equation?

Back

The variable that represents the y-intercept in a linear equation is 'b'. It is the value of y when x=0.

Front

What is the domain of a graph?

Back

The domain of a graph is the set of all possible input values (x-values) that the function can accept. For example, if the domain is -7 ≤ x < 5, it means x can take any value from -7 up to, but not including, 5.

Front

If f(x) = x + 7, find f(4).

Back

f(4) = 4 + 7 = 11.

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, 2, 5, 8, 11 is an arithmetic sequence with a common difference of 3.

Front

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

Back

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

Front

How do you find the slope of a line given two points?

Back

The slope (m) of a line given two points (x1, y1) and (x2, y2) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as the input values (x) increase, the output values (y) also increase. This means that the graph of the function rises from left to right.

Front

What is a function?

Back

A function is a relation that assigns exactly one output value (y) for each input value (x). It can be represented as f(x).