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Mathematics
Functions
Which of the following is true regarding the symmetry of the function ? $f(x) = x^{4}\ + x^{2}\ + 3$
A. $f(x)\ = f( - x)$
B. $f(x) = - f( - x)$
C. It is an even function.
D. Symmetric wrt y axis

Mathematics
Functions
If $f\left( x \right) = 4 - {x^2}$ and $g\left( x \right) = 6x$ , which expression is equivalent to $\left( {g - f} \right)\left( 3 \right)$ ?
Mathematics
Functions
Why does the vertical line test work?
Mathematics
Functions
If $f:R \to R$ is given by $f\left( x \right)=\left\{ \begin{matrix} 1,\text{ if }x\text{ is rational} \\ 0,\text{ if }x\text{ is irrational} \\ \end{matrix} \right.$, Then $\left( {fof} \right)\left( {\sqrt 5 } \right) =$
(A) $1$
(B) $- 1$
(C) $\sqrt 3$
(D) $0$
Mathematics
Functions
If R denotes the set of all real number, then the function f: $R \to R$ defined by $f\left( x \right) = |x|\,\,is\,$
A. only one-one
B. only onto
C. both one-one and onto
D. neither one-one nor onto
Mathematics
Functions
If $f\left( x \right) = 4{x^2} + 3x + 7$and $g\left( x \right) = 3x - 5$ then find $\left( {g \circ f} \right)\left( x \right)$?
Mathematics
Functions
How do you find the domain and range of $x + \sqrt {x - 1}$ ?
Mathematics
Functions
The following function is given as a set of ordered pairs $\left\{ {\left( {1,3} \right),\left( {3, - 2} \right),\left( {0,2} \right),\left( {5,3} \right),\left( { - 5,4} \right)} \right\}$ what is the domain of this function?
Mathematics
Functions
How do you decide whether the relation $xy = 9$ defines a function?
Mathematics
Functions
The function $f(x) = 10,000 - 1,500x$ can be used to predict the number of termites in an area $x$ days after the area has been treated. How many termites are predicted in the area after $5$ days?
Mathematics
Functions
Pens are shipped to the office supply store in boxes of $12$ each. Write a function rule to calculate the total number of pens when you know the number of boxes?
Mathematics
Functions
What is the domain of the derivative of $\ln x$ ?
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