Answer:
p(-1) = 3 and p(5) = 20
Step-by-step explanation:
p(x) is given as "piece-wise function".
So, depending on the value of x, we will use difference expression for the same function and have different values.
- When x is LESS THAN or EQUAL to 4, we will use the "top" expression of the function p(x).
- When x is GREATER THAN 4, we will use the "bottom" expression of the function p(x).
Since, we want to evaluate x = -1 first, we know -1 < 4, so we use the "top" one:
[tex]x^2+2=(-1)^2 + 2=1+2=3[/tex]
That is 3
Now,
we want to evaluate x = 5, since 5 > 4, we will use "bottom" expression, so we have:
[tex]2x+10=2(5)+10=20[/tex]
The answer is 20
The third answer choice is right.
