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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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Which graphs are functions ( select all that apply

Gnesinka [82]

Answer:

The second and third option are both functions!!

Glad to help!!

Step-by-step explanation:

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2 years ago

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How to divide 0.62 divide 0.01

NARA [144]

Move the decimal to the left two places

8 0

3 years ago

Which of the following coordinates exists on the line y = 3x + 1?

Natalija [7]

We are given

equation of line as

$y=3x+1$

we will check each options

option-A:

we can plug (3,1)

x=3 and y=1

$1=3*3+1$

$1=10$

we can see that

they are not equal

so, this is FALSE

option-B:

we can plug (-1,-2)

x=-1 and y=-2

$-2=3*-1+1$

$-2=-2$

we can see that

they are equal

so, this is TRUE

option-C:

we can plug (-3,4)

x=-3 and y=4

$4=3*-3+1$

$4=-8$

we can see that

they are not equal

so, this is FALSE

option-D:

we can plug (2,6)

x=2 and y=6

$6=3*2+1$

$6=7$

we can see that

they are not equal

so, this is FALSE

6 0

3 years ago

Read 2 more answers

What is the slope intercept form when m = 1/2 & b = 89 ? Helppppppppp

Zina [86]

Answer:

$y = \frac{1}{2}x + 89$

Step-by-step explanation:

slope-intercept form: y = mx + b

y = (x , y)

x = (x , y)

m = slope = 1/2

b = y-intercept = 89

Plug in the corresponding numbers & variables to the corresponding variables:

y = (1/2)x + 89

$y = \frac{1}{2}x + 89$ is your answer.

5 0

3 years ago

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Which value is NOT a solution of 8x3 – 1 = 0?

Tpy6a [65]

Note: As you may have unintentionally missed to add the value choices. But, I would make sure to explain the concept so that you may improve your understanding in terms of solving these type of questions.

Answer:

Any value other than the values $x=\frac{1}{2},\:x=-\frac{1}{4}+i\frac{\sqrt{3}}{4},\:x=-\frac{1}{4}-i\frac{\sqrt{3}}{4}$ will not be a solution of $8x^3\:-\:1\:=\:0$ .

Step-by-step explanation:

Considering the equation

$8x^3\:-\:1\:=\:0$

Steps to solve the equation

$8x^3-1=0$

$\mathrm{Add\:}1\mathrm{\:to\:both\:sides}$

$8x^3-1+1=0+1$

$\mathrm{Simplify}$

$x^3=\frac{1}{8}$

$\mathrm{Divide\:both\:sides\:by\:}8$

$\frac{8x^3}{8}=\frac{1}{8}$

$\mathrm{Simplify}$

$x^3=\frac{1}{8}$

$\mathrm{For\:}x^3=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt[3]{f\left(a\right)},\:\sqrt[3]{f\left(a\right)}\frac{-1-\sqrt{3}i}{2},\:\sqrt[3]{f\left(a\right)}\frac{-1+\sqrt{3}i}{2}$

$x=\sqrt[3]{\frac{1}{8}},\:x=\sqrt[3]{\frac{1}{8}}\frac{-1+\sqrt{3}i}{2},\:x=\sqrt[3]{\frac{1}{8}}\frac{-1-\sqrt{3}i}{2}$

So,

$x=\frac{1}{2},\:x=-\frac{1}{4}+i\frac{\sqrt{3}}{4},\:x=-\frac{1}{4}-i\frac{\sqrt{3}}{4}$

Therefore,

Any value other than the values $x=\frac{1}{2},\:x=-\frac{1}{4}+i\frac{\sqrt{3}}{4},\:x=-\frac{1}{4}-i\frac{\sqrt{3}}{4}$ will not be a solution of $8x^3\:-\:1\:=\:0$ .

Keywords: solution, value

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7 0

3 years ago