Question 1

The __________ function with base b is defined by $f\left(x
ight)=b^x$ , where b > 0, $b
e1$ , and $x\ \epsilon\ R$ .

Accepted Answer

EXPONENTIAL

Question 2

If $b^y=x$ , then y is called the logarithm of x to the base b denoted by __________ where b > 0 and b ≠ 1.

Accepted Answer

$y=\log_bx$

Answer

$y=\log_bx$

Answer

$y=\log_bx$

Answer

$y=\log_bx$

Question 3

The __________ functions include the sine, cosine, tangent, cosecant, secant, and the cotangent functions.

Accepted Answer

TRIGONOMETRIC

Question 4

To evaluate the limit of either exponential, logarithmic, or trigonometric function, we may use the table of values or its __________.

Accepted Answer

GRAPH

Question 5

If the function is either exponential, logarithmic, or trigonometric and if a is a real number which is in the domain of f, then $\lim_{x o a}f\left(x
ight)=$ __________.

Accepted Answer

f(a)

Answer

f(b)

Answer

f(x)

Answer

f(y)

Question 6

The exponential function with base b is defined by $f\left(x
ight)=b^x$ where b > 0, b ≠ 1, and x є R.

Accepted Answer

true

Answer

false

Question 7

If $b^y=x$ , then x is called the logarithm of y to the base b denoted by $x\ \epsilon\ R$ where b > 0 and b ≠ 1.

Accepted Answer

false

Answer

true

Question 8

Logarithmic functions are the inverses of exponential functions, and any exponential function can be expressed in logarithmic form.

Accepted Answer

true

Answer

false

Question 9

The graph of an exponential growth function rises from left to right.

Accepted Answer

true

Answer

false

Question 10

The limit of the function $b^y=x$ as x approaches 4 does not exist, since the function is undefined at x = 4.

Accepted Answer

false

Answer

true

Question 11

The __________ with base b is defined by $f\left(x
ight)=b^x$ where b > 0, b ≠ 1, and x є R.

Accepted Answer

Exponential Function

Answer

Logarithmic Function

Answer

Trigonometric Function

Answer

Polynomial Function

Question 12

Evaluate $b^y=x$ .

Accepted Answer

0

Answer

-1

Answer

1

Answer

-1/2

Question 13

Evaluate $b^y=x$ .

Accepted Answer

1

Answer

-1

Answer

-1/2

Answer

1/2

Question 14

The function $b^y=x$ is a __________.

Accepted Answer

Natural logarithmic function

Answer

Trigonometric function

Answer

Natural exponential function

Answer

Special function

Question 15

Evaluate $b^y=x$ .

Accepted Answer

0

Answer

-1

Answer

-1/2

Answer

1/2

Question 16

Evaluate $b^y=x$ .

Accepted Answer

0

Answer

1

Answer

10

Answer

-1

Question 17

To find the limit as x approaches 0 of the three special functions specifically $b^y=x$ , $f\left(x
ight)=b^x$ , and $\lim_{x o a}f\left(x
ight)=$ , which can we use?

Accepted Answer

Table of values

Answer

Rationalization

Answer

Factoring

Answer

Direct substitution

Question 18

Evaluate $b^y=x$ .

Accepted Answer

DNE

Answer

0

Answer

-1

Answer

1

Question 19

Evaluate $b^y=x$

Accepted Answer

10

Answer

1

Answer

DNE

Answer

0

Question 20

Evaluate $b^y=x$ .

Accepted Answer

6

Answer

0

Answer

1

Answer

DNE

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