Table of Contents

- 1 What does a curved line on a graph represent?
- 2 What does a flat horizontal line mean on a speed graph?
- 3 On which axis do you place the manipulated variable on a line graph?
- 4 Is a curved line longer than a straight line?
- 5 Which is true of the graph of an exponential function?
- 6 How is the inverse of a logarithmic function graphed?

## What does a curved line on a graph represent?

Both graphs show plotted points forming a curved line. Curved lines have changing slope; they may start with a very small slope and begin curving sharply (either upwards or downwards) towards a large slope. In either case, the curved line of changing slope is a sign of accelerated motion (i.e., changing velocity).

**Does a steep curve on a line graph indicate a rapid or slow rate of change?**

Using Graphs Does a steep curve on a line graph indicate a rapid or slow rate of change? A rapid rate of change.

### What does a flat horizontal line mean on a speed graph?

A horizontal line on a speed-time graph represents a steady speed. This can also be called a constant or uniform speed. If the line slopes downward from left to right on the graph, this means that the object is slowing down. Its acceleration will be negative.

**How could you plot more than one dependent variable on a line graph?**

You just need to add a legend to explain what the shapes and/or colors correspond to in your data sets. If you have two sets of dependent data that differ significantly in magnitude, you could have one set of values on the left vertical axis and a second set of values on a right vertical axis.

## On which axis do you place the manipulated variable on a line graph?

X – axis

It is observed and measured to determine the quantity or quality of change. When we plot information on a graph the manipulated variable is always plotted on the X – axis and the responding variable is always plotted on the Y – axis. Independent variable is another name for manipulated variable.

**Which line represents an object moving at a slower speed?**

horizontal line

The steeper the graph, the greater the acceleration. A horizontal line means the object is moving at a constant speed. A downward sloping line means the object is slowing down.

### Is a curved line longer than a straight line?

In mathematics, a curve (also called a curved line in older texts) is an object similar to a line, but that does not have to be straight.

**How is the slope of a logarithmic graph always increasing?**

All three logarithms have the y y -axis as a vertical asymptote, and are always increasing. All three logarithmic graphs begin with a steep climb after x =0 x = 0, but stretch more and more horizontally, their slope ever-decreasing as x x increases.

## Which is true of the graph of an exponential function?

The point (1,b) ( 1, b) is on the graph. This is true of the graph of all exponential functions of the form y =bx y = b x for x > 1 x > 1. 1) and increases as x x approaches infinity. The x x -axis is a horizontal asymptote of the function. Let us consider the function y= 1 2x y = 1 2 x when 0< b< 1 0 < b < 1.

**What does a positive slope on a line graph mean?**

Graphically, a positive slope means that as a line on the line graph moves from left to right, the line rises. We will learn in other sections that “price” and “quantity supplied” have a positive relationship; that is, firms will supply more when the price is higher. Figure 1. Positive Slope.

### How is the inverse of a logarithmic function graphed?

A logarithmic function of the form y= logbx y = l o g b x where b b is a positive real number, can be graphed by using a calculator to determine points on the graph or can be graphed without a calculator by using the fact that its inverse is an exponential function.