Variables, Expressions, and Integers

Symbols known as variables are used to represent values that are not yet known. Mathematical phrases that combine variables, numbers, and operations are called expressions. Integers, on the other hand, refer to whole numbers, inclusive of zero and their negative equivalents. These concepts are foundational to algebra and various other branches of mathematics.

Arithmetic Operations

ons of Functions For $f(x)=1-x$ and $g(x)=4 x^{2}+x+4$, find the following functions a. $(f \circ g)(x) ; b .(g \circ f)(x) ; c .(f \circ g)(2) ; d .(g \circ f)(2)$
More examples

Determining if the Expression is a Polynomial

Suppose that $f(x)=-x^{3}+9 x^{2}-20 x$. a. What is the function's leading term? Preview b. What is the function's degree? Preview c. What is the function's end behavior? (That is, does $f(x)$ increase or decrease without bound as $x$ increases or decreases without bound?) ค As $x \rightarrow \infty, f(x) \rightarrow$ Preview - As $x \rightarrow-\infty, f(x) \rightarrow$ Preview
More examples

Distributive Property

Simplify the following expression using the distributive property: \(3(4x - 2)\)
More examples

Comparing Expressions

The statement $3=\log _{2} 8$ translates to $2^{3}=8$ in exponential form.
More examples

Popular Problems

Compute $\int_{0}^{\ln (2) / … Solve the triangle. \[ \mathr… QUESTION 2 - 1 POINT Solve th… 5. Suppose you are a computer… Answer the statistical measur… $(-\infty, 2) \cap(-6, \infty… A firm does not pay a dividen… Math 112 Section: 4. Tubercul… Find $y^{\prime}$ if $y=\ln \… 3. (3pts) Cherry trees in a c… More