Evaluate the function for the indicated values of $$ x $$. $$ f(x)=\left\{\begin{array}{rr}2 x+1, & x \leq-5 \ x^{2}, & -5

Question

UpStudy AI · Accepted Answer

We are given the function

f(x) = { 2x + 1  if  x ≤ -5  
      x²    if  -5 < x < 5  
      3 - x  if  x ≥ 5 }

Now, let's evaluate the function for each value of x:

1. For x = -10:  
Since -10 ≤ -5, use f(x) = 2x + 1  
f(-10) = 2(–10) + 1 = –20 + 1 = –19

2. For x = 2:  
Since -5 < 2 < 5, use f(x) = x²  
f(2) = (2)² = 4

3. For x = -5:  
Since -5 ≤ -5, use f(x) = 2x + 1  
f(-5) = 2(–5) + 1 = –10 + 1 = –9

4. For x = -1:  
Since -5 < –1 < 5, use f(x) = x²  
f(-1) = (–1)² = 1

5. For x = 8:  
Since 8 ≥ 5, use f(x) = 3 - x  
f(8) = 3 - 8 = –5

Thus, the evaluated values are:  
f(-10) = –19  
f(2) = 4  
f(-5) = –9  
f(-1) = 1  
f(8) = –5
f(-10) = –19 f(2) = 4 f(-5) = –9 f(-1) = 1 f(8) = –5

Evaluate the function for the indicated values of \( x \). \( f(x)=\left\{\begin{array}{rr}2 x+1, & x \leq-5 \\ x^{2}, & -5

Ask by Wells Morrison. in the United States

Feb 28,2025