contestada

Type the correct answer in each box. Use numerals instead of words.
Consider function h.
What are the values of the function when x= 0 and when x=4
h(0)=
h(4)=

Type the correct answer in each box Use numerals instead of words Consider function h What are the values of the function when x 0 and when x4 h0 h4 class=

Respuesta :

gayanepoghosyan

Answer:

10 16

Step-by-step explanation:

when x= 0 h(x)=2x²-3x+10

⇒ h(0)=2*0²-3*0+10=10

when x= 4 h(x)=[tex]2^{x}[/tex]

⇒ h(4)=[tex]2^{4}[/tex]=16

The value of the given piecewise function at [tex]x=0[/tex] is [tex]h(0)=10[/tex] and the value of the function at [tex]x=4[/tex] is [tex]h(4)=16[/tex].

Important information:

  • The given piecewise function is:

         [tex]h(x)=\begin{cases}3x-4, &x < 0 \\ 2x^2-3x+10, &0\leq x < 4 \\ 2^x, & x\geq 4\end{cases}[/tex]

Piecewise Function:

The function for [tex]x=0[/tex] is [tex]h(x)=2x^2-3x+10[/tex].

[tex]h(0)=2(0)^2-3(0)+10[/tex]

[tex]h(0)=10[/tex]

The function for [tex]x=4[/tex] is [tex]h(x)=2^x[/tex].

[tex]h(4)=2^4[/tex]

[tex]h(4)=16[/tex]

Therefore, the required values of the piecewise function are [tex]h(0)=10[/tex] and [tex]h(4)=16[/tex].

Find out more about 'Piecewise Function' here:

https://brainly.com/question/17966003

Otras preguntas