Function Math Problems - Practice with Solutions

Dealing with function Math questions is never easy as these can be implemented virtually anywhere where Algebra is used. It means that starting with at least one function Math example from what has been provided below will help you. Of course, certain function Math problems will require more analysis and verbal explanations, yet these are also encountered as you look through the questions. Learn about the use of equations first! The functions Math problems are always based on the analytical part because the function Math equation always has only one answer for every unknown variable.

Algebra I

Whether each of these functions is a bijection from R to R.
a) $f (x) = - 3 x + 4$
b) $f (x) = - 3 x^{2} + 7$
c) $f (x) = \frac{x + 1}{x + 2}$
$d) f (x) = x^{5} + 1$
?

Find the average value of the function on the given interval?

How to describe the interval(s) on which the function is continuous, using interval notation?
$f (x) = x \sqrt{x + 6}$

What is the value of k in the function $f (x) = 112 - k x$ if $f (- 3) = 121$ ?

Linear function is the function whose graph is a straight line. True or False

If f(x) = x − 4, what does f(3) represent?

Brianna is graphing the function $f (x) = x^{2} + 6 x + 5$ . What x-intercepts should Brianna use to graph f(x)?

Verify Lagrange's Mean Value Theorem (LMVT) for following functions on indicated intervals. Also, find a point c in the indicated interval that satisfy LMVT.
$f (x) = x (x - 2)$ on [1,3]

Let f(x)=x-3 and g(x)=x^2 find f(g(4)) ?

Is x+10 a factor of the function $f (x) = x^{3} - 75 x + 250$ ?

What is the remainder when $(2 x^{3} + 4 x^{2} - 32 x + 18) \div (x + 3)$ ?

In general, what is the y intercept of the function $F (x) = a \cdot b^{x}$ ?

What is the domain of the function $f (x) = 2 x + 5$ ?

If f(x)=-x-7, find f(-5)?

If $h (x) = - 2 x - 10$ , what is $h (- 4)$ ?

Which of the following function is an onto function-
A. $f (x) = \sin (x)$ on $f : R \to [- 1, 1]$
B. $f (x) = \cos (x)$ on $f : R \to [- 1, 1]$
C. $f (x) = e^{x}$ on $f : R \to (0, \infty)$
D. All of the above.

Let $f (x) = 4 x + 5 and g (x) = 4 x^{2} - 5$ . What is $(f \cdot g) (x - 1)$ ?

Given that $g (x) = 4 x + 6$ , what is the value of x that makes $g (x) = 14$ ?

Given the function $f (x) = \log_{3} (x + 4)$ , what is the value of $f^{- 1} (3)$ ?

If (x)=4x+3 find f(f(2)) ?

Functions in Algebra Examples