Skip to main content
Logo image

Syllabus: Math 1011 — 63057 — Spring 2024

Section 4 Standards

Subsection 4.1 The Cartesian Plane

The Cartesian Plane 1 (CP1).

I can plot a given point in the plane and determine whether it lies on the graph of an equation.

The Cartesian Plane 2 (CP2).

I can find the distance and midpoint between two points in the plane.

The Cartesian Plane 3 (CP3).

I can translate between the standard form and the graph of a circle.

Subsection 4.2 Functions and Graphs

Functions and Graphs 1 (FG1).

I can determine whether an algebraic expression defines a function of a given variable and, if so, find the implied
  • domain,
  • codomain, and
  • range.

Functions and Graphs 2 (FG2).

I can graph general functions using
  • graphs of basic functions,
  • graph transformations, and
  • symmetry.

Functions and Graphs 3 (FG3).

I can …
  • use the graph of a function to identify the intervals of increase/decrease and find local extrema, and
  • compute the average rate of change of a function.

Subsection 4.3 Polynomial Functions

Polynomial Functions 1 (PF1).

I can find rational roots of polynomials.

Polynomial Functions 2 (PF2).

I can perform long division with polynomials.

Polynomial Functions 3 (PF3).

I can work with linear functions:
  • Represent linear functions in the following forms:
    • Slope-Intercept
    • Point-Slope
    • Standard
  • Find the slope of a line,
  • Find the \(x\)- and \(y\)-intercepts,
  • Find a line parallel or perpendicular to a given line
  • Graph linear functions.

Polynomial Functions 4 (PF4).

I can solve linear and absolute value inequalities.

Polynomial Functions 5 (PF5).

I can work with quadratic functions:
  • Place a given quadratic function into vertex form,
  • Find the \(x\)- and \(y\)- intercepts of a given quadratic function,
  • Use the information above to sketch a graph of a given quadratic function.

Subsection 4.4 Combining Functions

Combining Functions 1 (CF1).

I can solve rational equations .

Combining Functions 2 (CF2).

I can compose functions and find the implied
  • domain,
  • codomain, and
  • range.

Combining Functions 3 (CF3).

I can determine whether an algebraic function has an inverse and, if so, find the inverse.

Combining Functions 4 (CF4).

I can work with piecewise defined functions.

Subsection 4.5 Transcendental Functions

Transcendental Functions 1 (TF1).

I can solve equations involving exponential and logarithmic functions.
PrevTopNext