Arithmetic Sequence, Comparing Functions & Exponential Review

• 17

• 43

• 37

• 31

Answer explanation

The sequence increases by 6 (19-13=6, 25-19=6). The 6th term is 13 + 5*6 = 43. Thus, the 6th number in the arithmetic sequence is 43.

• 17

• 43

• 37

• 31

Answer explanation

The sequence increases by 6 each time: 13 + 6 = 19, 19 + 6 = 25. Continuing this pattern, 25 + 6 = 31. Therefore, the next number is 31.

Who has the greater rate of change?

• Hunter has the greater rate of change.

• Casey has the greater rate of change 

• They have the same rate of change

Answer explanation

To determine the rate of change, we compare the changes in values for Hunter and Casey. Casey's values change more significantly over the same period, indicating that Casey has the greater rate of change.

Who has the greater rate of change?

• Braden has the greater rate of change with 60/3

• Omar has the greater rate of change with 100

• Braden has the greatest rate of change with 60

• They both have the same rate of change

Answer explanation

To find the rate of change, we compare Braden's rate of 60/3 (which equals 20) to Omar's rate of 100. Since 100 is greater than 20, Omar has the greater rate of change.

Identify the y-intercept (initial value) in the function y=13(.27)^x

• 0

• .27

• 13

• 3.51

Answer explanation

In the function y=13(0.27)^x, the y-intercept occurs when x=0. Substituting x=0 gives y=13(0.27)^0=13(1)=13. Thus, the y-intercept (initial value) is 13.

Answer explanation

The function y=4(0.58)^x approaches 0 as x increases, making y=0 the horizontal asymptote. The other choices do not represent the behavior of the function as x approaches infinity.

What is the formula for Exponential Equation?

• y = a + b^x

• y = a * b^x

• y = a * x^b

• y = a - b^x

Answer explanation

The correct formula for an exponential equation is y = a * b^x, where 'a' is a constant, 'b' is the base, and 'x' is the exponent. This form represents exponential growth or decay.

What is an exponential asymptote?

• A horizontal line that represents the maximum value of a function.

• A line that a function approaches as the input values become very large or very small.

• A curve that never intersects the x-axis.

• A point where the function is undefined.

Answer explanation

An exponential asymptote is a line that a function approaches as the input values become very large or very small, indicating the behavior of the function at extreme values.