Graphing exponential functions Quiz 1

Question 1

Transform the graph of $$y={{5}^{x}}$$ to $$y=4	imes {{5}^{-x}}-3$$  $$ \ $$<img  src="https://cmds-vedantu.s3.ap-southeast-1.amazonaws.com/prod/question-sets/6dd17e76-7222-42e2-acc9-baab605aeaab8433746736000774273.png"/>

Accepted Answer

Answer

Answer

Answer

None of these

Question 2

Transform the given graph $$y={{3}^{^{x}}}	ext{ to }y=-{{3}^{x+4}}+5$$ $$ \ $$<img  src="https://cmds-vedantu.s3.ap-southeast-1.amazonaws.com/prod/question-sets/8a4278cd-722e-4f86-a213-c59678ee6d791770746073701897878.png"/>

Accepted Answer

Answer

Answer

Answer

None of these

Question 3

What transformations have happened from $$y={{e}^{x}}$$ to $$y=-{{e}^{(x-3)}}+5$$

Accepted Answer

stretch the graph to the right by 3 units, reflected about x-axis, moved up by 5 units

Answer

stretch the graph to the left by 3 units and reflected about x axis, moved up by 5 units

Answer

Reflection about x-axis, vertical shift by 3 down and moved right by 3 units

Answer

None of the above

Question 4

For the equation $$y=i.{{j}^{x}}$$. Choose the appropriate option

Accepted Answer

All the above

Answer

Graph is exponential growth if i $$>$$ 0 and j $$>$$ 1

Answer

Graph is exponential decay if $$i <$$ 0 and j $$> $$1

Answer

Graph is exponential growth if i $$<$$ 0 and j $$<$$ 1

Question 5

Calculate domain and Range of the following function $$y=0.3	imes {{\left( \frac{5}{7} ight)}^{x}}$$

Accepted Answer

Domain: R all real numbers and Range: {y element R: y > 0} all positive real numbers

Answer

Domain: R all real numbers and Range: {y element R: y < 0} all negative real numbers

Answer

Domain: R > 0 all positive real numbers and Range: {y element R: y > 0} all positive real numbers

Answer

None of these