What does curve mean in calculus?

What does curve mean in calculus?

curve, In mathematics, an abstract term used to describe the path of a continuously moving point (see continuity).

What is a graph curve?

A graph curve is a connected union of projective lines, each line meeting three others in ordinary double points. The corresponding graph is K4, the complete graph on four vertices, since we have four lines that intersect each of the others. This graph is trivalent.

How do you describe a curved graph?

The relationships shown in ‘curved graphs’ are more complex to describe. One possibility is that ‘as x increases, y increases slowly at first and then more rapidly’ (Figure 7.4a) or that ‘as x increases, y increases rapidly at first and then more slowly’ (Figure 7.4b).

What is a curved shape called?

meander – a bend or curve, as in a stream or river. line – a length (straight or curved) without breadth or thickness; the trace of a moving point. closed curve – a curve (such as a circle) having no endpoints. S-shape – a double curve resembling the letter S.

How do you describe a curve?

A curve is a continuous and smooth flowing line without any sharp turns. One way to recognize a curve is that it bends and changes its direction at least once. 2. Downward curve: A curve that turns in the downward direction is called a downward curve.

How do you describe a curved line?

A curved line is defined as a line that is not straight but is bent. Ideally, a curved line holds a zero curvature and is continuous and smooth. Curves are prominent figures found everywhere around us.

How do you describe the results of a graph?

Describing language of a graph

1. UP: increase / rise / grow / went up / soar / double / multiply / climb / exceed /
2. DOWN: decrease / drop / fall / decline / plummet / halve / depreciate / plunge.
3. UP & DOWN: fluctuate / undulated / dip /
4. SAME: stable (stabilised) / levelled off / remained constant or steady / consistent.

What are the steps for graphing curves?

More details can be found at AP Calculus Exam Review: Analysis of Graphs, for example.

1. Determine the Domain and Range.
2. Find the y-Intercept.
3. Find the x-Intercept(s)
4. Look for Symmetry.
5. Find any Vertical Asymptote(s)
6. Find Horizontal and/or Oblique Asymptote(s)
7. Determine the Intervals of Increase and Decrease.

WHAT IS curve and types of curve?

A curve is a continuous and smooth flowing line without any sharp turns. One way to recognize a curve is that it bends and changes its direction at least once. Types of curves. 1.

What is the area under a curve?

The area under a curve is the area between the curve and the x-axis. The curve may lie completely above or below the x-axis or on both sides. In calculus, you measure the area under the curve using definite integrals.

What are names of graph shapes?

The most commonly used terms are V-shaped, U-shaped, W-shaped, and L-shaped recessions. The shapes take their names from the approximate shape economic data make in graphs during recessions.

What are the names of curves?

Types of Curves. There are two types of curves provided primarily for the comfort and ease of the motorists in the road namely: Horizontal Curve. Vertical Curve.

What are the different types of curves?

There are two common types of curves: plane curves, which are maps from R 1 to R 2, and space curves, which are maps from R 1 to R 3. In a somewhat different sense, curves can also be viewed as 1-dimensional subsets of R 2 or R 3.