Question

Problem Set B: Evaluate the function for the given value of x if h(x) x² - 1 4 -4x + 1 Is-1 - 1 4 g(x) = - 1 1 - 4 -1 if x 5 if X

Answer 1

h(7)

Since 7 is greater than 4 means that the piece if the function we must use is the last one from the function

`\begin{gathered} -4x+1 \\ -4(7)+1 \\ -28+1 \\ -27 \end{gathered}`

g(6)

Since 6 is greater than 5 means that the piece of the function we must use is the last one from the function

`\begin{gathered} x^2-5 \\ (6)^2-5 \\ 36-5 \\ 31 \end{gathered}`

h(0)

Since 0 is between -1 and 4 means that the piece of the function we must use is the middle one

`h(0)=4`

f(-2)

Since -2 is between -3 and 4 means that the piece of the function we must use is the middle one

`\begin{gathered} (1)/(2)x-1 \\ (1)/(2)(-2)-1 \\ -1-1 \\ -2 \end{gathered}`

f(-6)

Since -6 is less than -3 means that the piece of the function we must use is the first one

`f(-6)=-5`

g(-1)

Since -1 is less than 5 means that the piece of the function we must use use is the first one

`g(-1)=-|(1)/(2)-4|-1`