anabelle17
Answered

At Westonci.ca, we provide clear, reliable answers to all your questions. Join our vibrant community and get the solutions you need. Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

Type the correct answer in each box. Use numerals instead of words.

Consider the function [tex]$h$[/tex].

[tex]\[ h(x)=\left\{\begin{array}{ll}
3x - 4, & x \ \textless \ 0 \\
2x^2 - 3x + 10, & 0 \leq x \ \textless \ 4 \\
2^x, & x \geq 4
\end{array}\right. \][/tex]

What are the values of the function when [tex]$x = 0$[/tex] and when [tex]$x = 4$[/tex]?

[tex]\[
\begin{array}{l}
h(0) = \square \\
h(4) = \square
\end{array}
\][/tex]

Reset

Sagot :

GinnyAnswer
Let's determine the values of the function \( h \) at \( x = 0 \) and \( x = 4 \) by analyzing the piecewise function and plugging these values directly into the appropriate pieces.

For \( x = 0 \):
The function \( h \) is defined as \( h(x) = 2x^2 - 3x + 10 \) for \( 0 \leq x < 4 \). Therefore, we can substitute \( x = 0 \) into this expression:
[tex]\[ h(0) = 2(0)^2 - 3(0) + 10 = 0 - 0 + 10 = 10 \][/tex]

So, \( h(0) = 10 \).

For \( x = 4 \):
The function \( h \) is defined as \( h(x) = 2^x \) for \( x \geq 4 \). Therefore, we can substitute \( x = 4 \) into this expression:
[tex]\[ h(4) = 2^4 = 16 \][/tex]

So, \( h(4) = 16 \).

Thus, the values of the function are:
[tex]\[ h(0) = 10 \][/tex]
[tex]\[ h(4) = 16 \][/tex]
We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.