Function Rules and Output - ISEE Middle Level Quantitative Reasoning

1. What is the output of $g(x)=x^2-5$ when $x=3$?

   $g(3)=4$. Substitute $x=3$ into $g(x)=x^2-5$ to get $9-5=4$.

2. What is the output of $k(x)=4x^2$ when $x=\frac{1}{2}$?

   $k\left(\frac{1}{2}\right)=1$. Substitute $x=\frac{1}{2}$ into $k(x)=4x^2$ to get $4(\frac{1}{4})=1$.

3. What is the output of $L(x)=2^x$ when $x=5$?

   $L(5)=32$. Substitute $x=5$ into $L(x)=2^x$ to get $2^5=32$.

4. What is the output of $M(x)=\sqrt{x+1}$ when $x=8$?

   $M(8)=3$. Substitute $x=8$ into $M(x)=\sqrt{x+1}$ to get $\sqrt{9}=3$.

5. What is the output of $p(t)=\frac{t}{3}+7$ when $t=9$?

   $p(9)=10$. Substitute $t=9$ into $p(t)=\frac{t}{3}+7$ to get $3+7=10$.

6. What is the output of $h(x)=2(x-1)$ when $x=6$?

   $h(6)=10$. Substitute $x=6$ into $h(x)=2(x-1)$ to get $2(5)=10$.

7. What is the output of $b(x)=3(x+4)$ when $x=-2$?

   $b(-2)=6$. Substitute $x=-2$ into $b(x)=3(x+4)$ to get $3(2)=6$.

8. What is the output of $q(n)=5-2n$ when $n=8$?

   $q(8)=-11$. Substitute $n=8$ into $q(n)=5-2n$ to get $5-16=-11$.

9. What is the output of $R(x)=-(x-3)^2+1$ when $x=5$?

   $R(5)=-3$. Substitute $x=5$ into $R(x)=-(x-3)^2+1$ to get $-(2)^2+1=-3$.

10. What is the output of $S(x)=\frac{x^2-1}{x-1}$ when $x=4$?

    $S(4)=5$. Substitute $x=4$ into $S(x)=\frac{x^2-1}{x-1}$ to get $\frac{15}{3}=5$.

11. What is the output of $a(x)=x^2+2x+1$ when $x=-3$?

    $a(-3)=4$. Substitute $x=-3$ into $a(x)=x^2+2x+1$ to get $9-6+1=4$.

12. What is the output of $s(x)=|x-5|$ when $x=9$?

    $s(9)=4$. Substitute $x=9$ into $s(x)=|x-5|$ to get $|9-5|=4$.

13. What is the output of $N(x)=\sqrt{16-x}$ when $x=7$?

    $N(7)=3$. Substitute $x=7$ into $N(x)=\sqrt{16-x}$ to get $\sqrt{9}=3$.

14. What is the output of $F(x)=2x^2-3x$ when $x=5$?

    $F(5)=35$. Substitute $x=5$ into $F(x)=2x^2-3x$ to get $50-15=35$.

15. What is the output of $T(x)=3-\frac{x}{2}$ when $x=-6$?

    $T(-6)=6$. Substitute $x=-6$ into $T(x)=3-\frac{x}{2}$ to get $3-(-3)=6$.

16. What is the output of $P(x)=\frac{3x}{4}$ when $x=12$?

    $P(12)=9$. Substitute $x=12$ into $P(x)=\frac{3x}{4}$ to get $\frac{36}{4}=9$.

17. What is the output of $r(x)=|x-5|$ when $x=2$?

    $r(2)=3$. Substitute $x=2$ into $r(x)=|x-5|$ to get $|2-5|=3$.

18. What is the output of $G(x)=\frac{x+1}{2}$ when $x=7$?

    $G(7)=4$. Substitute $x=7$ into $G(x)=\frac{x+1}{2}$ to get $\frac{8}{2}=4$.

19. What is the output of $e(x)=x^3$ when $x=-2$?

    $e(-2)=-8$. Substitute $x=-2$ into $e(x)=x^3$ to get $(-2)^3=-8$.

20. What is the output of $f(x)=3x+2$ when $x=4$?

    $f(4)=14$. Substitute $x=4$ into the linear function $f(x)=3x+2$ to get $3(4)+2=14$.

21. What is the output of $J(x)=\frac{6}{x}$ when $x=-3$?

    $J(-3)=-2$. Substitute $x=-3$ into $J(x)=\frac{6}{x}$ to get $\frac{6}{-3}=-2$.

22. What is the output of $c(y)=2y-3$ when $y=-5$?

    $c(-5)=-13$. Substitute $y=-5$ into $c(y)=2y-3$ to get $-10-3=-13$.

23. What is the output of $d(t)=\frac{1}{2}t+6$ when $t=10$?

    $d(10)=11$. Substitute $t=10$ into $d(t)=\frac{1}{2}t+6$ to get $5+6=11$.

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