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olga_2 [115]
3 years ago
5

Given the piecewise function shown below, select all of the statments that are true.

Mathematics
1 answer:
timurjin [86]3 years ago
8 0
The <span>given the piecewise function is :
</span>
f(x) = \[ \begin{cases} &#10;      2x & x \ \textless \  1 \\&#10;      5 & x=1 \\&#10;      x^2 & x\ \textgreater \ 1 &#10;   \end{cases}&#10;\]

To find f(5) ⇒ substitute with x = 5 in the function → x²
∴ f(5) = 5² = 25


To find f(2) ⇒ substitute with x = 5 in the function → x²
∴ f(2) = 2² = 4

To find f(-2) ⇒ substitute with x = 5 in the function → 2x
∴ f(-2) = 2 * (-2) = -4

To find f(1) ⇒ substitute with x = 1 in the function → 5
∴ f(1) = 5
================================
So, the statements which are true:<span>
\framebox {B. f(2) = 4} \ \framebox {D. f(1) = 5}</span><span></span>
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