Question

Please explain the graph for f=e^x?

Answer 1

Answer on Question #50276 – Engineering

Please explain the graph for $f = e^{\wedge}x$ ?

Answer:

The graph of $y = e^{x}$ is upward-sloping, and increases faster as $x$ increases. The graph always lies above the $x$ -axis but can get arbitrarily close to it for negative $x$ ; thus, the $x$ -axis is a horizontal asymptote. The slope of the tangent to the graph at each point is equal to its $y$ coordinate at that point

Graphs of Exponential Functions

The graph passes through the point $(0,1)$

The domain is all real numbers

The range is $y > 0$

The graph is increasing

- The graph is asymptotic to the x-axis as x approaches negative infinity

- The graph increases without bound as x approaches positive infinity

- The graph is continuous

- The graph is smooth

MATLAB CODE:

clc,close all,clear all
figure
x=-20:0.1:5
y=exp(x)
xlim([-10 10]),ylim([0 100])
plot(x,y,'o--')
axis equal,grid on
xlabel('x'),ylabel('y')
legend('y=exp(x)')
figure
x=-1:0.1:1.5
y=exp(x)
xlim([-1 1.5]),ylim([0 100])
plot(x,y,'o--')
axis equal,grid on
xlabel('x'),ylabel('y')
legend('y=exp(x)')

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