Question

Can someone check my answers please?

Use the functions to answer the question.

f(x) = |x| + 1

Find the range.

all real numbers greater than or equal to 0 [My answer]

all real numbers greater than 0

all real numbers greater than or equal to 1

all real numbers greater than 1

f(x)=2/x, g(x)=|x|-1
What is the domain?

{x| x e real numbers} {my answer}
{x|x does NOT = 0}
{x|x does NOT=0 or x does NOT = 1}
{x|x does NOT = -1 or x does NOT equal 1}

Answer 1

@amistre64

Answer 2

@jim_thompson5910 @aaronq

Answer 3

for your 1st question, the correct answer is:
all real numbers greater than or equal to 1

Answer 4

@plusky How do you know?

Answer 5

@inowalst

@Nnesha

Answer 6

@welshfella

Answer 7

@paki

Answer 8

@Hoslos

Answer 9

Thanks for the help you guys. Really appreciate it.

Answer 10

f(x) = |x| + 1

the range is determined an many ways depending on your level ofmathical prowess.

let say

y = |x| + 1 , the domain is all real numbers since there is no real number that causes an issue here.

write the domain and transform it into the range

-inf < x < inf ; now construct x into f(x), lets ||bar it all

|-inf| < |x| < |inf| , for no good reason at the moment other than common sense, this is equal to saying

0 <= |x| < inf , the outcomes are between 0 and inf
now add 1 to it all

1 <= |x|+1 < inf+1 , inf+1 = inf by default

1 <= f(x) < inf

this is one approach

Answer 11

thanks @amistre64 for the help. that's a comprehensive explanation.

Answer 12

thanks @amistre64 for the help. that's a comprehensive explanation.