Function Rules and Output - ISEE Middle Level: Quantitative Reasoning
Card 1 of 23
What is the output of $h(x)=2(x-1)$ when $x=6$?
What is the output of $h(x)=2(x-1)$ when $x=6$?
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$h(6)=10$. Substitute $x=6$ into $h(x)=2(x-1)$ to get $2(5)=10$.
$h(6)=10$. Substitute $x=6$ into $h(x)=2(x-1)$ to get $2(5)=10$.
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What is the output of $f(x)=3x+2$ when $x=4$?
What is the output of $f(x)=3x+2$ when $x=4$?
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$f(4)=14$. Substitute $x=4$ into the linear function $f(x)=3x+2$ to get $3(4)+2=14$.
$f(4)=14$. Substitute $x=4$ into the linear function $f(x)=3x+2$ to get $3(4)+2=14$.
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What is the output of $J(x)=\frac{6}{x}$ when $x=-3$?
What is the output of $J(x)=\frac{6}{x}$ when $x=-3$?
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$J(-3)=-2$. Substitute $x=-3$ into $J(x)=\frac{6}{x}$ to get $\frac{6}{-3}=-2$.
$J(-3)=-2$. Substitute $x=-3$ into $J(x)=\frac{6}{x}$ to get $\frac{6}{-3}=-2$.
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What is the output of $L(x)=2^x$ when $x=5$?
What is the output of $L(x)=2^x$ when $x=5$?
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$L(5)=32$. Substitute $x=5$ into $L(x)=2^x$ to get $2^5=32$.
$L(5)=32$. Substitute $x=5$ into $L(x)=2^x$ to get $2^5=32$.
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What is the output of $M(x)=\sqrt{x+1}$ when $x=8$?
What is the output of $M(x)=\sqrt{x+1}$ when $x=8$?
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$M(8)=3$. Substitute $x=8$ into $M(x)=\sqrt{x+1}$ to get $\sqrt{9}=3$.
$M(8)=3$. Substitute $x=8$ into $M(x)=\sqrt{x+1}$ to get $\sqrt{9}=3$.
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What is the output of $c(y)=2y-3$ when $y=-5$?
What is the output of $c(y)=2y-3$ when $y=-5$?
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$c(-5)=-13$. Substitute $y=-5$ into $c(y)=2y-3$ to get $-10-3=-13$.
$c(-5)=-13$. Substitute $y=-5$ into $c(y)=2y-3$ to get $-10-3=-13$.
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What is the output of $d(t)= rac{1}{2}t+6$ when $t=10$?
What is the output of $d(t)= rac{1}{2}t+6$ when $t=10$?
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$d(10)=11$. Substitute $t=10$ into $d(t)=\frac{1}{2}t+6$ to get $5+6=11$.
$d(10)=11$. Substitute $t=10$ into $d(t)=\frac{1}{2}t+6$ to get $5+6=11$.
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What is the output of $F(x)=2x^2-3x$ when $x=5$?
What is the output of $F(x)=2x^2-3x$ when $x=5$?
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$F(5)=35$. Substitute $x=5$ into $F(x)=2x^2-3x$ to get $50-15=35$.
$F(5)=35$. Substitute $x=5$ into $F(x)=2x^2-3x$ to get $50-15=35$.
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What is the output of $G(x)=\frac{x+1}{2}$ when $x=7$?
What is the output of $G(x)=\frac{x+1}{2}$ when $x=7$?
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$G(7)=4$. Substitute $x=7$ into $G(x)=\frac{x+1}{2}$ to get $\frac{8}{2}=4$.
$G(7)=4$. Substitute $x=7$ into $G(x)=\frac{x+1}{2}$ to get $\frac{8}{2}=4$.
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What is the output of $g(x)=x^2-5$ when $x=3$?
What is the output of $g(x)=x^2-5$ when $x=3$?
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$g(3)=4$. Substitute $x=3$ into $g(x)=x^2-5$ to get $9-5=4$.
$g(3)=4$. Substitute $x=3$ into $g(x)=x^2-5$ to get $9-5=4$.
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What is the output of $N(x)=\sqrt{16-x}$ when $x=7$?
What is the output of $N(x)=\sqrt{16-x}$ when $x=7$?
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$N(7)=3$. Substitute $x=7$ into $N(x)=\sqrt{16-x}$ to get $\sqrt{9}=3$.
$N(7)=3$. Substitute $x=7$ into $N(x)=\sqrt{16-x}$ to get $\sqrt{9}=3$.
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What is the output of $P(x)=\frac{3x}{4}$ when $x=12$?
What is the output of $P(x)=\frac{3x}{4}$ when $x=12$?
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$P(12)=9$. Substitute $x=12$ into $P(x)=\frac{3x}{4}$ to get $\frac{36}{4}=9$.
$P(12)=9$. Substitute $x=12$ into $P(x)=\frac{3x}{4}$ to get $\frac{36}{4}=9$.
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What is the output of $R(x)=-(x-3)^2+1$ when $x=5$?
What is the output of $R(x)=-(x-3)^2+1$ when $x=5$?
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$R(5)=-3$. Substitute $x=5$ into $R(x)=-(x-3)^2+1$ to get $-(2)^2+1=-3$.
$R(5)=-3$. Substitute $x=5$ into $R(x)=-(x-3)^2+1$ to get $-(2)^2+1=-3$.
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What is the output of $S(x)=\frac{x^2-1}{x-1}$ when $x=4$?
What is the output of $S(x)=\frac{x^2-1}{x-1}$ when $x=4$?
Tap to reveal answer
$S(4)=5$. Substitute $x=4$ into $S(x)=\frac{x^2-1}{x-1}$ to get $\frac{15}{3}=5$.
$S(4)=5$. Substitute $x=4$ into $S(x)=\frac{x^2-1}{x-1}$ to get $\frac{15}{3}=5$.
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What is the output of $T(x)=3-\frac{x}{2}$ when $x=-6$?
What is the output of $T(x)=3-\frac{x}{2}$ when $x=-6$?
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$T(-6)=6$. Substitute $x=-6$ into $T(x)=3-\frac{x}{2}$ to get $3-(-3)=6$.
$T(-6)=6$. Substitute $x=-6$ into $T(x)=3-\frac{x}{2}$ to get $3-(-3)=6$.
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What is the output of $k(x)=4x^2$ when $x= rac{1}{2}$?
What is the output of $k(x)=4x^2$ when $x= rac{1}{2}$?
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$k\left(\frac{1}{2}\right)=1$. Substitute $x=\frac{1}{2}$ into $k(x)=4x^2$ to get $4(\frac{1}{4})=1$.
$k\left(\frac{1}{2}\right)=1$. Substitute $x=\frac{1}{2}$ into $k(x)=4x^2$ to get $4(\frac{1}{4})=1$.
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What is the output of $a(x)=x^2+2x+1$ when $x=-3$?
What is the output of $a(x)=x^2+2x+1$ when $x=-3$?
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$a(-3)=4$. Substitute $x=-3$ into $a(x)=x^2+2x+1$ to get $9-6+1=4$.
$a(-3)=4$. Substitute $x=-3$ into $a(x)=x^2+2x+1$ to get $9-6+1=4$.
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What is the output of $b(x)=3(x+4)$ when $x=-2$?
What is the output of $b(x)=3(x+4)$ when $x=-2$?
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$b(-2)=6$. Substitute $x=-2$ into $b(x)=3(x+4)$ to get $3(2)=6$.
$b(-2)=6$. Substitute $x=-2$ into $b(x)=3(x+4)$ to get $3(2)=6$.
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What is the output of $e(x)=x^3$ when $x=-2$?
What is the output of $e(x)=x^3$ when $x=-2$?
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$e(-2)=-8$. Substitute $x=-2$ into $e(x)=x^3$ to get $(-2)^3=-8$.
$e(-2)=-8$. Substitute $x=-2$ into $e(x)=x^3$ to get $(-2)^3=-8$.
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What is the output of $s(x)=|x-5|$ when $x=9$?
What is the output of $s(x)=|x-5|$ when $x=9$?
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$s(9)=4$. Substitute $x=9$ into $s(x)=|x-5|$ to get $|9-5|=4$.
$s(9)=4$. Substitute $x=9$ into $s(x)=|x-5|$ to get $|9-5|=4$.
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What is the output of $r(x)=|x-5|$ when $x=2$?
What is the output of $r(x)=|x-5|$ when $x=2$?
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$r(2)=3$. Substitute $x=2$ into $r(x)=|x-5|$ to get $|2-5|=3$.
$r(2)=3$. Substitute $x=2$ into $r(x)=|x-5|$ to get $|2-5|=3$.
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What is the output of $q(n)=5-2n$ when $n=8$?
What is the output of $q(n)=5-2n$ when $n=8$?
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$q(8)=-11$. Substitute $n=8$ into $q(n)=5-2n$ to get $5-16=-11$.
$q(8)=-11$. Substitute $n=8$ into $q(n)=5-2n$ to get $5-16=-11$.
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What is the output of $p(t)= rac{t}{3}+7$ when $t=9$?
What is the output of $p(t)= rac{t}{3}+7$ when $t=9$?
Tap to reveal answer
$p(9)=10$. Substitute $t=9$ into $p(t)=\frac{t}{3}+7$ to get $3+7=10$.
$p(9)=10$. Substitute $t=9$ into $p(t)=\frac{t}{3}+7$ to get $3+7=10$.
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