Math - Gr11 - chapter 4 - Exponential Functions

Question 1

Describe the characteristics of exponential functions and their graphs

Answer 1

They all contain the poin (0,1) because a^0=1 ; they x-axis is always an asymptote ; they are decreasing if 0 < a < 1 and increasing if 1 < a ; the domain is all real numbers ; the range is y > 0 ; the graph is continuous

Question 2

Compare exponential functions with linear and quadratic functions

Answer 2

Algebraically, linear functions are polynomial functions with a highest exponent of one, exponential functions have a variable in the exponent, and quadratic functions are polynomial functions with a highest exponent of two

Question 3

Evaluate powers with integer and rational exponents and simplify expressions involving them

Answer 3

.

Question 4

what is 5^2

Answer 4

5 x 5 = 25

Question 5

what is 5^-2

Answer 5

For negative exponents, put a one over it, then it’s 1 over 5x 5 = 1 over 25

Question 6

What is 5^0

Answer 6

1

Question 7

What is 5^1/2

Answer 7

Square root of 5

Question 8

What is 5^1/3

Answer 8

Cube root of 5

Question 9

What is 5^2/3

Answer 9

this is the same a (5^2)^1/3 or (5^1/3)^2 or the cube root of 5^2

Question 10

Simplify Rational Exponents - video

Answer 10

https://www.youtube.com/watch?v=fvUyjBpinv8