Question

What statement correctly describes the key features of the graph of f(x) = 4(one half)x + 1 − 3?

a.Y-intercept of (0, −1), starts down on the left,
gets closer to y = −3 on the right

b.Y-intercept of (0, −1), starts up on the left,

c.gets closer to y = −3 on the right
Y-intercept of (0, 1), starts up on the left, gets closer to y = −3 on the right

d.Y-intercept of (0, 1), starts down on the left, gets closer to y = −3 on the right

Answer 1

@iambatman

Answer 2

@KrissieG123

Answer 3

@Kainui

Answer 4

@quickstudent

Answer 5

y=mx+b, m = slope, b = y - intercept (0, something)

Answer 6

i know the y-intercept x=0 , when i plug in x=0 in the equation i get the answer -1 so it's (0, -1) correct? @iambatman

Answer 7

@dan815

Answer 8

@Luigi0210

Answer 9

\[f(x) = 4 \frac{ 1 }{ 2 } x+1-3\] this?

Answer 10

y=f(x)

Answer 11

x is raised to the power , i solved it like this 4(1/2)^0+1 -3 = -1

Answer 12

@iambatman

Answer 13

@Preetha

Answer 14

@MTALHAHASSAN2

Answer 15

@mathrulezz @mathmath333

Answer 16

\(\large \begin{align} \color{black}{\normalsize \text{is this the equation }\hspace{.33em}\\~\\
f(x) = 4\cfrac{1}{2}x + 1 − 3 \hspace{.33em}\\~\\
\normalsize \text{or this }\hspace{.33em}\\~\\
f(x) = \dfrac{4x}{2} + 1 − 3 \hspace{.33em}\\~\\
}\end{align}\)

Answer 17

this is the equation : f(x) = 4(1/2)^x+1 -3

Answer 18

so the y-intercept is x=0 when i plug that in i get f(x) which is y= -1 , and the answer is i think (0,-1) correct?

Answer 19

\(\large \begin{align} \color{black}{\normalsize \text{u mean this one }\hspace{.33em}\\~\\

f(x) = 4\times \left(\dfrac{1}{2}\right)^{x + 1 }− 3 \hspace{.33em}\\~\\
}\end{align}\)

Answer 20

exactly and -3 after ^x+1

Answer 21

@mathmath333

Answer 22

@Whitemonsterbunny17

Answer 23

\(\large \begin{align} \color{black}{\normalsize \text{first check the y -intercept,put x=0 }\hspace{.33em}\\~\\

f(x) = 4\dfrac{1}{2}^{x + 1 }− 3 \hspace{.33em}\\~\\
y= 4\dfrac{1}{2}^{x + 1 }− 3 \hspace{.33em}\\~\\
y= 4\dfrac{1}{2}^{0+ 1 }− 3 \hspace{.33em}\\~\\
y= 4\dfrac{1}{2}− 3 \hspace{.33em}\\~\\
y= 2− 3 =-1\hspace{.33em}\\~\\
\normalsize \text{so y -intercept=(0,-1) }\hspace{.33em}\\~\\
}\end{align}\)

Answer 24

yup!! , and that's what i exactly got but there is two options that has the same answer and i'm confused

Answer 25

let's see...

Answer 26

we want to see if its starts on left or right

Answer 27

i mean starts down or up in left

Answer 28

lol i m confused

Answer 29

i have graphed it i'll show you , maybe you can help me even tho i think it stats up

Answer 30

https://www.desmos.com/calculator/eg5xnoahsq

Answer 31

here i think u have to put larger values of positive ans negative values f(x) that is y and test.for some higher negative values of y u will get x undefined.

Answer 32

so its
option b.) if we graph it

Answer 33

yeah and i was thinking the same thing too because it will never start from the bottom anyway and the values i have plugged got me positive number and for x if we plug negative numbers we can't raise a number to the negative anyway @mathmath333

Answer 34

Thank you so much the answer b.Y-intercept of (0, −1), starts up on the left,
gets closer to y = −3 on the right was correct and i just got a 100%

Answer 35

see the difference between positive and negative

https://www.desmos.com/calculator/aj0ariaifg

Answer 36

yeah i see but for this problem it started from the top , anyways thanks a lot and you have helped me the last time and you're so helpful and such an awesome person man!

Answer 37

@mathmath333

Answer 38

yw