4.4, 4.6, 4.7 Review

Front

What does the domain restriction x > 5 imply?

Back

It restricts all numbers greater than or equal to 5.

Front

What is the value of g(-2) if g(x) = 7?

Back

g(-2) = 7.

Front

Identify the sequence that is NOT an arithmetic sequence: -7, -13, -19, -25,...; -10, -6, -2, 2,...; 6, 8, 10, 12,...; 3, 15, 75, 375,...

Back

3, 15, 75, 375,... is NOT an arithmetic sequence.

Front

What is the value of g(7) if g(x) = 17?

Back

g(7) = 17.

Front

What is the common difference of the sequence 7, 27, 47, 67,...?

Back

The common difference is 20.

Front

Define an arithmetic sequence.

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Front

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

Back

The nth term 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 common difference in the sequence 5, 10, 15, 20,...?

Back

The common difference is 5.

Front

If f(x) = 2x + 3, what is f(4)?

Back

f(4) = 2(4) + 3 = 11.

Front

What is the range of the function g(x) = x^2?

Back

The range is all non-negative real numbers (y ≥ 0).