Answer:
see explanation
Step-by-step explanation:
h(- 4) means what is the value of h(x) when x = - 4
Now x = - 4 ≠ 2, thus
h(- 4)
= - [tex]\frac{1}{3}[/tex] × (- 4)² + 4
= - [tex]\frac{1}{3}[/tex] × 16 + 4
= - [tex]\frac{16}{3}[/tex] + [tex]\frac{12}{3}[/tex] = - [tex]\frac{4}{3}[/tex]
h(2) means what is the value of h(x) when x = 2, thus
h(2) = - 2
h(5) means what is the value of h(x) when x = 5
Now x = 5 ≠ 2, thus
h(5)
= - [tex]\frac{1}{3}[/tex] × 5² + 4
=- [tex]\frac{1}{3}[/tex] × 25 + 4
= - [tex]\frac{25}{3}[/tex] + [tex]\frac{12}{3}[/tex] =- [tex]\frac{13}{3}[/tex]
