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A function,
f, has domain
-10 <= x <= 20 and range
-40 <= f(x) <= -10. Select each statement that must be false about
f(x).

{:[f(1)=-13],[f(-10)=-40]:}

◻f(1)=13

f(-9)=88

f(5)=-40

f(0)=0

f(-15)=-20

$7$ . A function, $f$ , has domain $-10 \leq x \leq 20$ and range $-40 \leq f(x) \leq-10$ . Select each statement that must be false about $f(x)$ . $\newline$ $\begin{array}{c} f(1)=-13 \\ f(-10)=-40 \end{array}$ $\newline$ $\square f(1)=13$ $\newline$ $f(-9)=88$ $\newline$ $f(5)=-40$ $\newline$ $f(0)=0$ $\newline$ $f(-15)=-20$

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Write two-variable inequalities: word problems

Full solution

Q.

7

. A function,

f

, has domain

-10 \leq x \leq 20

and range

-40 \leq f(x) \leq-10

. Select each statement that must be false about

f(x)

.

\newline

\begin{array}{c} f(1)=-13 \\ f(-10)=-40 \end{array}

\newline

\square f(1)=13

\newline

f(-9)=88

\newline

f(5)=-40

\newline

f(0)=0

\newline

f(-15)=-20

Check Range for $f(1)$ : Check if $f(1) = 13$ is possible given the range. $\newline$ Range is $-40 \leq f(x) \leq -10$ , so $f(1) = 13$ is outside the range.
Check Range for $f(-9)$ : Check if $f(-9) = 88$ is possible given the range. $\newline$ Range is $-40 \leq f(x) \leq -10$ , so $f(-9) = 88$ is outside the range.
Check Range for $f(5)$ : Check if $f(5) = -40$ is possible given the range. $\newline$ Range is $-40 \leq f(x) \leq -10$ , so $f(5) = -40$ is within the range.
Check Range for $f(0)$ : Check if $f(0) = 0$ is possible given the range. $\newline$ Range is $-40 \leq f(x) \leq -10$ , so $f(0) = 0$ is outside the range.
Check Domain for $f(-15)$ : Check if $f(-15) = -20$ is possible given the domain. $\newline$ Domain is $-10 \leq x \leq 20$ , so $f(-15) = -20$ is outside the domain.

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