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3 years ago

Which is the graph of parent function f(x)=2^x

Mathematics

2 answers:

olga nikolaevna [1]3 years ago

8 0

Option D is the correct answer

navik [9.2K]3 years ago

3 0

Answer:

Graph D

Step-by-step explanation:

$f(x)= 2^x$

Given f(x) is a exponential function

The graph (a) is a graph of an absolute function because we have V shaped graph

The graph (b) is the graph of a line so it is a graph of a linear function

The graph (c) is a U shaped graph. U shaped graph is a graph of a quadratic function.

The graph (d) is a curve shaped graph. It is a graph of an exponential function.

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Let $f(x)$ be a function defined for all positive real numbers satisfying the conditions $f(x) > 0$ for all $x > 0$ and $f

algol [13]

Suppose we choose $x=1$ and $y=\dfrac12$ . Then

$f(x-y)=\sqrt{f(xy)+1}\implies f\left(\dfrac12\right)=\sqrt{f\left(\dfrac12\right)+1}\implies f\left(\dfrac12\right)=\dfrac{1+\sqrt5}2$

Now suppose we choose $x,y$ such that

$\begin{cases}x-y=\dfrac12\\\\xy=2009\end{cases}$

where we pick the solution for this system such that $x>y>0$ . Then we find

$\dfrac{1+\sqrt5}2=\sqrt{f(2009)+1}\implies f(2009)=\dfrac{1+\sqrt5}2$

Note that you can always find a solution to the system above that satisfies $x>y>0$ as long as $x>\dfrac12$ . What this means is that you can always find the value of $f(x)$ as a (constant) function of $f\left(\dfrac12\right)$ .

3 0

3 years ago

Read 2 more answers

Please help I will give brainliest IF IT IS CORRECT

Andreyy89

Answer:

third graph and (3, -1)

Step-by-step explanation:

y = 2/3x - 3

y = -2x + 5

2/3x - 3 = -2x + 5

2 2/3x = 8

8/3x = 8

8x = 24

x = 3

find 'y'

y = -2(3) + 5

y = -1

The third graph is correct because it shows both a line intersecting the y-axis at -3 and the negative slope line is crossing at +5

5 0

2 years ago

10 pt

lord [1]

Answer:

C. 434π

Step-by-step explanation:

Given:

Radius (r) = 7 in.

Height (h) = 24 in.

Required:

Surface area of the cylinder

Solution:

S.A = 2πrh + 2πr²

Plug in the values

S.A = 2*π*7*24 + 2*π*7²

S.A = 336π + 98π

S.A = 434π

5 0

2 years ago

I need help with these two answers please :/

4vir4ik [10]

Rise over run is -2/4 or simplified as -1/2
The second one is
$\frac{1 - 3}{4 - 0} = \frac{ - 2}{4}$

7 0

2 years ago

How do I solve this math problem?<br><br> M <br> — = -3 <br> 4

harina [27]

-12

Step-by-step explanation:

We know 12 divided by 4 is 3 so the same is so in the negatives

6 0

2 years ago

Read 2 more answers