Exponential and Logarithmic Functions

Question 1

What is the parental function for exponential decay functions?

Answer 1

0 < b < 1

Question 2

What letter in ab^(x-h)+k represents a left/right slide (horizontal change)?

Answer 2

h

Question 3

What letter in ab^(x-h)+k represents an up/down slide (vertical change)?

Answer 3

k

Question 4

What is the parental function for exponential growth functions?

Answer 4

f(x) = b^x, if b > 1

Question 5

What function is used to model exponential growth/decay functions?

Answer 5

A(t) = a(1 + r)^t

Question 6

A(t) = a(1 + r)^t: what does A(t) stand for?

Answer 6

Amount after t time periods.

Question 7

A(t) = a(1 + r)^t: what does a stand for?

Answer 7

Initial amount

Question 8

A(t) = a(1 + r)^t: what does r stand for?

Answer 8

Rate of growth (r > 1) or decay (r < 1)

Question 9

A(t) = a(1 + r)^t: what changes depending on if it is growth or decay?

Answer 9

+/-

Question 10

A(t) = a(1 + r)^t: what does t stand for?

Answer 10

Number of time periods

Question 11

What does the equation y = ax represent?

Answer 11

Direct variation

Question 12

In y=ax what is the nonzero constant?

Answer 12

Constant of variation

Question 13

What is another name for the constant of variation?

Answer 13

Coefficient of variation

Question 14

What does the equation y = a/x represent (a ≠ 0)?

Answer 14

Inverse variation

Question 15

What do you write when there is no variation?

Answer 15

Neither

Question 16

Multiplying x by y will determine what?

Answer 16

If they are the same, it is inverse.

Question 17

When one quantity varies with respect to two or more quantities?

Answer 17

Combined variation

Question 18

When one quantity varies directly with two or more quantities?

Answer 18

Joint variation

Question 19

If it doesn’t say, it is

Answer 19

direct (for joint variation).gmmjtty

Question 20

What is letter that represents the constant of variation?

Answer 20

K

Question 21

If 10^x = a, then x =

Answer 21

Log10a
Or
Log a

Question 22

To find an inverse,

Answer 22

Switch x and y

And then rearrange

Question 23

To graph an inverse,

Answer 23

Reflect over line y=x

Question 24

What are characteristics of log graphs?

Answer 24

Vertical asymptote

Range of ARNs

Question 25

What numbers can’t you take a log of?

Answer 25

Negative

Question 26

What does the ERROR message usually signify?

Answer 26

The asymptote

Question 27

What type/how many asymptote a does a log graph have?

Answer 27

1 vertical asymptote

Question 28

To find the x-intercept, plug in _ for _.

Answer 28

0 for y