Anabelle17idn
Answered

Explore IDNLearn.com's extensive Q&A database and find the answers you need. Discover the information you need quickly and easily with our reliable and thorough Q&A platform.

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 :

GinnyAnsweridn
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]
Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! For dependable and accurate answers, visit IDNLearn.com. Thanks for visiting, and see you next time for more helpful information.