Introduction to Linear Functions Answers

The graph of the function f(x) is shown below.

Which statements about the local maximums and minimums for the given function are true? Choose three options.

A 2-column table with 6 rows. The first column is labeled x with entries negative 4, negative 2, 0, 2, 4, 6. The second column is labeled f of x with entries 0, 2, 8, 2, 0, negative 2.

A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1. The second column is labeled f of x with entries 15, negative 5, 0, 5, 0, negative 5.

Mr. Jones asks his students to generate the next two numbers in the sequence beginning –5.5, 11, ....Taquan suggests that the sequence is geometric and the next two numbers are –22 and 44. Julia suggests that the sequence is arithmetic and the next two numbers are 27.5 and 44.Which best explains which student is correct?

Which best describes the relationship between the successive terms in the sequence shown?2.4, –4.8, 9.6, –19.2

Which recursive formula can be used to generate the sequence shown, where f(1) = 9.6 and n > 1?9.6, –4.8, 2.4, –1.2, 0.6, ...

A 2-column table with 6 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2, 3. The second column is labeled f of x with entries negative 8, negative 3, negative 3, 4, 1, 3.

A sequence is defined by the recursive formula f(n + 1) = 1.5f(n). Which sequence could be generated using the formula?

A 2-column table with 7 rows. The first column is labeled x with entries negative 6, negative 4, negative 2, 0, 2, 4, 6. The second column is labeled f of x with entries 8, 2, 0, negative 2, negative 1, 0, 4.

On a coordinate plane, a curved line with a minimum value of (0, 1) and a maximum value of (negative 1.3, 2.2), crosses the x-axis at (negative 2.2, 0) and crosses the y-axis at (0, 1).

On a coordinate plane, a curved line with a maximum value of (negative 1, 2) crosses the x-axis at (negative 3, 0) and (1, 0), and crosses the y-axis at (0, 1.5).

Which table shows a function that is increasing only over the interval (–2, 1), and nowhere else?

A sequence is defined by the formula f(n+1)=f(n)−3. If f(4)=22, what is f(1)?

On a coordinate plane, a curved line with minimum values of (negative 0.5, negative 7) and (2.5, negative 1), and a maximum value of (1.5, 1), crosses the x-axis at (negative 1, 0), (1, 0), and (3, 0), and crosses the y-axis at (0, negative 6).

A 2-column table with 9 rows. The first column is labeled x with entries negative 5, negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3. The second column is labeled f of x with entries negative 6, negative 2, 0, 4, 4, 0, negative 2, negative 6, negative 10.

What is the common difference between successive terms in the sequence?9, 2.5, –4, –10.5, –17, ...

On a coordinate plane, a curved line crosses the x-axis at (negative 1, 0), and crosses the y-axis at (0, negative 3).

On a coordinate plane, a curved line with a minimum value of (0.8, negative 11.4) and maximum values of (negative 1.6, 56) and (2, 0), crosses the x-axis at (negative 2.5, 0), (0, 0), and (2, 0), and crosses the y-axis at (0, 0).

On a coordinate plane, a curved line with a minimum value of (negative 2.5, negative 12) and a maximum value of (0, negative 3) crosses the x-axis at (negative 4, 0) and crosses the y-axis at (0, negative 3).