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RATIONAL, INVERSE, EXPONENTIAL AND LOGARITHMIC FUNCTIONS

Total questions: 17

Worksheet time: 12mins

Name
Class
Date
1.

WRITE YOUR COMPLETE NAME

4 lines
2.

WRITE YOUR GRADE AND SECTION.

4 lines
3.

What do you call a function of two polynomials?

a)

Inverse Functions

b)

Rational Functions

c)

Exponential Functions

d)

Logarithmic Functions

4.

What is the set of all allowed values of x in a function?

a)

intercepts

b)

zeroes

c)

range

d)

domain

5.

To find the y-intercept of a function, let _____.

a)

x = 0

b)

x = 1

c)

y = 0

d)

y = 1

6.

It is a line that continually approaches a given curve but does not meet at finite distance.

a)

intercepts

b)

asymptotes

c)

domain

d)

range

7.

It is the highest exponent in the literal coefficients on the set of terms of a given polynomial.

a)

degree of a polynomial

b)

zeroes of a polynomial

c)

leading coefficient of a polynomial

d)

factors of a polynomial

8.

Complete the statement: The graph of an inverse function is the _____ of the graph of the original function.

a)

reflection

b)

shift

c)

refraction

d)

transfer

9.

What operation of function shall we use to determine if two functions are inverses of each other?

a)

multiplication

b)

division

c)

composition

d)

addition

10.

STATEMENT I: Exponential functions occur in various real world situations.

STATEMENT II: A population growth model is an example of exponential functions.

a)

Only Statement I is correct.

b)

Only Statement II is correct.

c)

Both statements are correct.

d)

Both statements are incorrect.

11.

STATEMENT I: Exponential functions are one-to-one functions.

STATEMENT II: We can solve for exponential equations first by setting both sides of the equation to same bases.

a)

Only Statement I is correct.

b)

Only Statement Ii is correct.

c)

Both statements are correct.

d)

Both statements are incorrect.

12.

What is the range of all exponential functions?

a)

The set of all real numbers

b)

The set of all negative numbers

c)

The set of all positive numbers

d)

The set of all integers

13.

What is the x-intercept of exponential functions?

a)

(0,0)

b)

(1,0)

c)

(-1,0)

d)

There is no x-intercept in the function.

14.

it is an exponent which b must produce to have a.

a)

exponents

b)

logarithms

c)

inverses

d)

interests

15.

Express the following exponential equation in its equivalent logarithmic form: 3x = 273^{x\ }=\ 27  

a)

log327 = x\log_327\ =\ x  

b)

logx3 = 27\log_x3\ =\ 27  

c)

log3x = 27\log_3x\ =\ 27  

d)

logx27 = 3\log_x27\ =\ 3  

16.

In the properties of logarithm, logb1 = \log_b1\ =\  

a)

1

b)

0

c)

-1

d)

undefined

17.

What do you call a logarithm with base e?

a)

Common logarithm

b)

Natural logarithm

c)

Basic logarithm

d)

Anti-logarithm