WGU C958
CALCULUS I
Graph-Interpretation Practice Workbook
Actual Graphs - Fully Worked Examples - Visual Reasoning - Practice with Solutions
2026 Independent Workbook
A visual calculus workbook covering limits, continuity, derivatives, concavity, tangent lines, optimization,
accumulation, the Fundamental Theorem of Calculus, and motion.
Academic use: All graphs, explanations, and questions are original. This resource is not an official WGU assessment.
, WGU C958 Calculus I - Graph Interpretation Practice
The Six-Step Graph Reading Method
Do not guess from appearance alone. Convert every feature into a calculus statement.
1. Axes and scale
Identify the variables, units, interval, and tick spacing.
2. Object
Determine whether the graph shows f, f', f'', a rate, velocity, or an accumulation function.
3. Values and signs
Read heights, intercepts, endpoints, holes, and signs.
4. Change
Identify increasing/decreasing behavior and sign changes.
5. Shape
Identify concavity, corners, asymptotes, and turning points.
6. Theorem and interpretation
Connect the feature to limits, derivatives, integrals, FTC, or motion; state the result with context.
Visual vocabulary
Point height gives function value. Tangent slope gives derivative. Change in slope gives concavity. Signed area gives an
integral. Area under a velocity graph gives displacement, while total absolute area gives distance.
1. Reading a Function Graph
Original independent practice - not affiliated with or endorsed by WGU Page 2
CALCULUS I
Graph-Interpretation Practice Workbook
Actual Graphs - Fully Worked Examples - Visual Reasoning - Practice with Solutions
2026 Independent Workbook
A visual calculus workbook covering limits, continuity, derivatives, concavity, tangent lines, optimization,
accumulation, the Fundamental Theorem of Calculus, and motion.
Academic use: All graphs, explanations, and questions are original. This resource is not an official WGU assessment.
, WGU C958 Calculus I - Graph Interpretation Practice
The Six-Step Graph Reading Method
Do not guess from appearance alone. Convert every feature into a calculus statement.
1. Axes and scale
Identify the variables, units, interval, and tick spacing.
2. Object
Determine whether the graph shows f, f', f'', a rate, velocity, or an accumulation function.
3. Values and signs
Read heights, intercepts, endpoints, holes, and signs.
4. Change
Identify increasing/decreasing behavior and sign changes.
5. Shape
Identify concavity, corners, asymptotes, and turning points.
6. Theorem and interpretation
Connect the feature to limits, derivatives, integrals, FTC, or motion; state the result with context.
Visual vocabulary
Point height gives function value. Tangent slope gives derivative. Change in slope gives concavity. Signed area gives an
integral. Area under a velocity graph gives displacement, while total absolute area gives distance.
1. Reading a Function Graph
Original independent practice - not affiliated with or endorsed by WGU Page 2
