Question

You may write negative infinity, positive infinity or all reals if you must use these as part of your answer. Separate numbers using commas and use the word bone if needed. Round numerical numbers to the hundredths.

Answer 1

Given

The function,

$h(x)=|x+2|+4$

To find the type of function, domain, range, x-intercept, y-intercept, one minimum or maximum, intervals where the function is positive, intervals where the function is negative.

Explanation:

It is given that,

$h(x)=|x+2|+4$

Since the function is related to modulus value.

Then, the type of the function is Absolute value function.

Also, Since

$h(x)=|x+2|+4$

Then, the domain of the function is,

$(-\infty,\infty)$

Set h(x)=z,

$z=|x+2|+4$

The range of the absolute function c | a x + b | + k is f(x) is greater than equal to k.

Then,

$f(z)\ge4$

Therefore, the range is,

$[4,\infty)$

From, the graph

From the figure there is no x-intercept.

Also, the y-intercept is 6.

Now, to find the critical points