Pregunta
Answer the questions about the following function.
(a) Is the point
on the graph of
?
(b) If
, what is
? What point is on the graph of
?
© If
, what is
? What point(s) are on the graph of
?
(d) What is the domain of
?
(e) List the
-intercept(s), if any, of the graph of
.
(f) List the
-intercept, if there is one, of the graph of
.
(a) Is the point
(b) If
© If
(d) What is the domain of
(e) List the
(f) List the
Ask by Pollard Mcguire. in the United States
Mar 15,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
(a) The point
is on the graph of
.
(b) When
,
, so the point
is on the graph.
© When
,
or
, so the points
and
are on the graph.
(d) The domain of
is all real numbers.
(e) The
-intercepts are
and
.
(f) The
-intercept is
.
Solución

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Como
Beyond the Answer
To determine if the point
is on the graph of
, we need to evaluate
. Plugging in
:
So, yes, the point
is indeed on the graph of
!
Now, for part (b), let’s find
:
Therefore, the point
is on the graph of
.
Next, for part ©, if
:
Setting the equation
:
Factoring gives us
, so
or
.
Thus, the points and
are on the graph of
.
Thus, the points
For part (d), the domain of
is all real numbers since it’s a polynomial function, which can take any x-value.
In part (e), to find the
-intercepts, we set
:
Using the quadratic formula
, where
,
, and
:
So we get
and
. The
-intercepts are
and
.
Finally, for part (f), the
-intercept occurs when
:
Thus, the
-intercept is
.

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