Question

Compare the function given in the graph, f(x), with g(x)
= [X] + 3. Which statements comparing the functions
are true? Check all that apply.


f(x) has two X-intercepts while g(x) has none.
f(x) and g(x) have the same y-intercept
The domain of each function is all real numbers.
The range of each function is all real numbers
w greater than or equal to -3.
O f(x) has the smallest minimum.
​

Answer 1

Answer:The graph of a function f is the set of points which satisfy the equation y = f(x). ... none of the three symmetries discussed thus far. ... less than 1, we use the formula f(x)=4 − x2. ... The calculator indicates the graph of g is symmetric about the origin, ... the next several chapters, each family of functions has its own unique ...

Answer 2

TheThe statements comparing the functions that are true are:

• f(x) has two X-intercepts while g(x) has none.
• The domain of each function is all real numbers.
• f(x) has the smallest minimum.

Statements comparing the functions

f(x) has two X-intercepts while g(x) has none.

g(x)=0⇒[X]+3=0

Thus [X]≥0∀x⇒g(x)=[X]+3=≥3> 0∀x

g(x) has no x- intercept

y-intercept of  f(x)=(0, f (0))=(0,-3)

y-intercept of  g(x)=(0, g (0))=(0,3)≠(0,-3)

The domain of each function is all real numbers.

f(x)= Quadratic equation

g(x)=Absolute value function

g(x)=[X]+3=≥3> 0∀x= Range of g(x) are all real number ≥3

y- intercept of f(x)=Vertex (0, f (0))=(0,-3)

⇒Min of f(x)=-3

g(x)=[X]+3≥3 ∀x⇒Min of g(x)=3

f(x) has the smallest minimum

Therefore the correct options are 1,3,5 .

Learn more about statements comparing the functions that are true here:https://brainly.com/question/16441341

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