Answer to Question #156243 in Trigonometry for aasia tariq

Question #156243

find the domain of the indicated functions.express answers in both interval notation and inequality notation.

f (x)=4-9x+3x2

translate each algebraic definition of the following function into a verbal definition.

f (x)=2x2+5

g (x)=-2x+7

M (x)=5t-2



1
Expert's answer
2021-01-19T04:11:18-0500

1) f (x)=4-9x+3x2 ;


This function can get all numbers for the domain:

"x\\in (-\\infin;\\infin)" ; "-\\infin\\le x\\le \\infin" ;



2) f (x)=2x2+5 ;


This is a quadratic function. Its domain includes all real numbers. Its graph is a parabola. That graph does not intersect with the x-axis. Its range includes "[5,\\infin)" , where x=0;



3) g (x)=-2x+7


This is a linear function. Its domain and range include all real numbers. Its graph is a straight line. That graph intersects with coordinates on (3.5, 0) and (0,7). Its range includes "(-\\infin,\\infin)" , where x=0;


4) M (x)=5t-2


This is a linear function. Its domain include all real numbers. Its graph is a line.



Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment

LATEST TUTORIALS
New on Blog
APPROVED BY CLIENTS