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Naily [24]
3 years ago
12

Given the piecewise function shown below select all the statements that are true

Mathematics
2 answers:
alexandr402 [8]3 years ago
6 0

Answer:

The correct options are f(-1)=2 and f(1)=0.

Step-by-step explanation:

We are given the function,

\left\{\begin{matrix}-x+1&x0\end{matrix}\right.

Now, according to the options, we have,

When x= -1 and x= -2, the function is f(x)=-x+1.

Then, f(-1)=-(-1)+1=1+1=2

Also, f(-2)=-(-2)+1=2+1=3

When x= 1 and x= 4, the function is f(x)=x^2-1

Then, f(1)=1^2-1=1-1=0

Also, f(4)=4^2-1=16-1=15

Thus, the correct options are f(-1)=2 and f(1)=0.

Rina8888 [55]3 years ago
3 0
The piecewise function tells us specific rules he should execute based on the input x we put in. For example for answer A is true since we use the top function f(x) = -x + 1 since the input is -1 which is less than 0 (x < 0). We check to make sure the equation comes out true:

f(-1) = -(-1) + 1

f(-1) = 2 ✓
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