CMIIh

2021-03-12

Complete the tasks to determine:

a)To graf: The function$g\left(x\right)={2}^{x-4}.$

b)The domain of the function$g\left(x\right)={2}^{x-4}$ in the interval notation.

c)The range of the function$g\left(x\right)={2}^{x-4}$ in the interval notation.

d)The equation of the asymptote of the function$g\left(x\right)={2}^{x-4}.$

a)To graf: The function

b)The domain of the function

c)The range of the function

d)The equation of the asymptote of the function

Macsen Nixon

Skilled2021-03-13Added 117 answers

a) Graph:

Use the transformation of the graph of the parent function

graph the given function

First, draw the graph of

different points on the graph of the parent function

Substitute - 1 for x in the above parent function

Now, substitute 0 for x .

Finally, substitute 1 for x.

Thus, the table for the graph of the parent function

Now, consider the original function

the parent function graph

positive towards the right.

Similarly, draw the table for the graph of the original function

Refer to the above table and draw the graph of the original function

From the graph, it observed that function

is increasing in the domain

The graph of the function

b) The domain is the set of all the inputs for which the given function is defined and is real.

Refer to the graph of the given function

From the graph, it can be concluded that the given function

Thus, write the obtained domain in interval notation.

Therefore, the domain of the given function is

c)

The range of the given function is the set of all the dependent variables for which it is defined.

Refer to the graph of the given function

From the graph, it can be concluded that the given function

Thus, write the obtained range in the interval notation.

Therefore, the range of the given function is

(d)

An asymptote of a curve is a line such that the distance between the curve and the line approaches zero as one or both of the x or y coordinates tend to infinity.

Refer to the graph of the function

From the graph, it can be concluded that the equation for the asymptote of the given function

Therefore, the equation for the asymptote of the given function is

What is the area of the parallelogram with vertices A(-3, 0), B(-1, 5), C(7, 4), and D(5, -1)?

How to expand and simplify $2(3x+4)-3(4x-5)$?

Find an equation equivalent to ${x}^{2}-{y}^{2}=4$ in polar coordinates.

How to graph $r=5\mathrm{sin}\theta$?

How to find the length of a curve in calculus?

When two straight lines are parallel their slopes are equal.

A)True;

B)FalseIntegration of 1/sinx-sin2x dx

Converting percentage into a decimal. $8.5\%$

Arrange the following in the correct order of increasing density.

Air

Oil

Water

BrickWhat is the exact length of the spiraling polar curve $r=5{e}^{2\theta}$ from 0 to $2\pi$?

What is $\frac{\sqrt{7}}{\sqrt{11}}$ in simplest radical form?

What is the slope of the tangent line of $r=-2\mathrm{sin}\left(3\theta \right)-12\mathrm{cos}\left(\frac{\theta}{2}\right)$ at $\theta =\frac{-\pi}{3}$?

How many integers from 0 to 50, inclusive, have a remainder of 1 when divided by 3?

Use the summation formulas to rewrite the expression $\Sigma \frac{2i+1}{{n}^{2}}$ as i=1 to n without the summation notation and then use the result to find the sum for n=10, 100, 1000, and 10000.

How to calculate the right hand and left hand riemann sum using 4 sub intervals of f(x)= 3x on the interval [1,5]?