Chapter 1: Q27E (page 9)
Find the domain of the function
\(F\left( p \right) = \sqrt {2 - \sqrt p } \)
The domain of the function \(f\left( x \right) = \sqrt {2 - \sqrt p } \)is\(\left( {0,\;4} \right)\).
Over 30 million students worldwide already upgrade their learning with Vaia!
All the tools & learning materials you need for study success - in one app.
Get started for free
Graphs\({\bf{f}}\)of\({\bf{g}}\)and are shown. Decide whether each function is even, odd, or neither. Explain your reasoning.
Prove the statement using the\(\varepsilon \) \(\delta \)definition of a limit.
\(\mathop {\lim }\limits_{x \to 2} \frac{{{x^2} + x - 6}}{{x - 2}} = 5\)
If \(f\left( x \right) = 3{x^2} - x + 2\), find \(f\left( 2 \right)\), \(f\left( { - 2} \right)\), \(f\left( a \right)\), \(f\left( { - a} \right)\), \(f\left( {a + 1} \right)\), \(2f\left( a \right)\), \(f\left( {2a} \right)\), \(f\left( {{a^2}} \right)\), \({\left( {f\left( a \right)} \right)^2}\), and \(f\left( {a + h} \right)\).
Some scientists believe that the average surface temperature of the world has been rising steadily. They have modeled the temperature by the linear function\({\bf{T = 0}}{\bf{.02t + 8}}{\bf{.5}}\), where\({\bf{T}}\)is the temperature in\({}^{\bf{o}}{\bf{C}}\)and\({\bf{t}}\)represents years since 1900.
(a) What do the slope and\({\bf{T}}\)-intercept represent?
(b) Use the equation to predict the average global surface temperature in 2100.
Graph the function by hand, not by plotting points, but by starting with the graph of one of the standard functions and then applying the appropriate transformations.
\(y = \frac{2}{{x + 1}}\)
What do you think about this solution?
We value your feedback to improve our textbook solutions.
