If f ( x ) = − 2 x − 3 a n d g ( x ) = x 2 + 5 x f\left(x\right)\ =\ -2x-3\ and\ g\left(x\right)\ =\ x^{2\ }+5x f ( x ) = − 2 x − 3 a n d g ( x ) = x 2 + 5 x , then find the value of g ( − 3 ) g\left(-3\right) g ( − 3 ) WITHOUT a calculator. Show your work on paper.

g ( − 3 ) = − 6 g\left(-3\right)=-6 g ( − 3 ) = − 6

g ( − 3 ) = 24 g\left(-3\right)=24 g ( − 3 ) = 2 4

g ( − 3 ) = 3 g\left(-3\right)=3 g ( − 3 ) = 3

g ( − 3 ) = − 24 g\left(-3\right)=-24 g ( − 3 ) = − 2 4

Ana says that the table given is a function. Is she correct? why or why not? Use your notes page (8-9)!

Yes she is correct because there are no repeating input (x) values

No she is not correct because the output (y) values repeat.

No she is not correct because the input (x) values repeat.

Yes she is correct because there are no repeating output (y) values

Evaluating Functions: Equations

Authored by B. Leach

Mathematics

9th Grade

CCSS covered

Used 30+ times

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11 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the general form of function notation?

$f\left(y\right)=x$

$f\left(x\right)=y$

$f\left(x\right)=1$

Tags

CCSS.HSF.IF.A.2

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

If
$g\left(x\right)\ =\ 3x\ -\ 5\$ , evaluate $g\left(-2\right)$ WITHOUT a calculator. Show your work on paper.

$-11$

$1$

$-1$

$\frac{11}{2}$

Tags

CCSS.HSF.IF.A.2

CCSS.HSF.IF.A.1

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

If
$g\left(x\right)\ =\ -\frac{x}{2}+4$ , evaluate $g\left(12\right)$ WITHOUT a calculator. Show your work on paper.

$\frac{4}{23}$

$20$

$10$

$-2$

Tags

CCSS.HSF.IF.A.2

CCSS.HSF.IF.A.1

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

If $f\left(x\right)\ =\ -2x-3\ and\ g\left(x\right)\ =\ x^{2\ }+5x$ , then find the value of $g\left(-3\right)$ WITHOUT a calculator. Show your work on paper.

$g\left(-3\right)=24$

$g\left(-3\right)=-6$

$g\left(-3\right)=3$

$g\left(-3\right)=-24$

Tags

CCSS.HSF.IF.A.2

CCSS.HSF.IF.A.1

MULTIPLE SELECT QUESTION

3 mins • 1 pt

Which of the following below is NOT a function? Select TWO answers. Use your notes (page 8-9)!

Tags

CCSS.HSF.IF.A.1

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Let $h\left(t\right)=\frac{t-3}{t+3}$ . If the input is 9, find the output WITHOUT a calculator. Show your work on paper.

$\frac{1}{2}$

$2$

$1$

$-1$

Tags

CCSS.HSF.IF.A.2

CCSS.HSF.IF.A.1

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

If $f\left(x\right)\ =\ -2x-3\ and\ g\left(x\right)\ =\ x^{2\ }+5x$ , then find the value of $f\left(1\right)+g\left(2\right)$ using a calculator.

$-1$

$12$

$13$

$9$

Tags

CCSS.HSF.IF.A.2

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Given the functions $g\left(s\right)\ =\ \sqrt{s+1}\ and\ h\left(t\right)\ =\ 2t^2-\frac{1}{2}t+3$
find the value of $g\left(3\right)$ . Show your work on paper.

$g\left(3\right)=22.5$

$g\left(3\right)=\pm4$

$g\left(3\right)=\pm2$

$g\left(3\right)=2$

Tags

CCSS.HSF.IF.A.2

CCSS.HSF.IF.A.1

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

If $h\left(t\right)=\frac{t-3}{t+3}\ and\ f\left(x\right)=x^2+3x-2$ , then what is $f\left(-2\right)+h\left(0\right)$ . Find the value using your calculator. Show your work on paper.

$-7$

$-9$

$-5$

$-3$

Tags

CCSS.HSF.IF.A.2

CCSS.HSF.IF.A.1

10.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Given $f\left(x\right)=x^2+3x-2$ , find $f\left(y+1\right)$ . Show your work on paper.

$f\left(y+1\right)=y^2+3y-2$

$f\left(y+1\right)\ =\ y^2+3y+2$

$f\left(y+1\right)=y^2+5y+2$

$f\left(y+1\right)=2$

Tags

CCSS.HSF.IF.A.2

CCSS.HSF.IF.A.1

CCSS.HSF.IF.C.8

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Evaluating Functions: Equations

What is the general form of function notation?

If g(x) = 3x − 5 g\left(x\right)\ =\ 3x\ -\ 5\ g(x) = 3x − 5 , evaluate g(−2)g\left(-2\right)g(−2) WITHOUT a calculator. Show your work on paper.

If g(x) = −x2+4g\left(x\right)\ =\ -\frac{x}{2}+4g(x) = −2x​+4 , evaluate g(12)g\left(12\right)g(12) WITHOUT a calculator. Show your work on paper.

If f(x) = −2x−3 and g(x) = x2 +5xf\left(x\right)\ =\ -2x-3\ and\ g\left(x\right)\ =\ x^{2\ }+5xf(x) = −2x−3 and g(x) = x2 +5x , then find the value of g(−3)g\left(-3\right)g(−3) WITHOUT a calculator. Show your work on paper.

Which of the following below is NOT a function? Select TWO answers. Use your notes (page 8-9)!

Let h(t)=t−3t+3h\left(t\right)=\frac{t-3}{t+3}h(t)=t+3t−3​ . If the input is 9, find the output WITHOUT a calculator. Show your work on paper.

If f(x) = −2x−3 and g(x) = x2 +5xf\left(x\right)\ =\ -2x-3\ and\ g\left(x\right)\ =\ x^{2\ }+5xf(x) = −2x−3 and g(x) = x2 +5x , then find the value of f(1)+g(2)f\left(1\right)+g\left(2\right)f(1)+g(2) using a calculator.

Given the functions g(s) = s+1 and h(t) = 2t2−12t+3g\left(s\right)\ =\ \sqrt{s+1}\ and\ h\left(t\right)\ =\ 2t^2-\frac{1}{2}t+3g(s) = s+1​ and h(t) = 2t2−21​t+3 find the value of g(3)g\left(3\right)g(3) . Show your work on paper.

If h(t)=t−3t+3 and f(x)=x2+3x−2h\left(t\right)=\frac{t-3}{t+3}\ and\ f\left(x\right)=x^2+3x-2h(t)=t+3t−3​ and f(x)=x2+3x−2 , then what is f(−2)+h(0)f\left(-2\right)+h\left(0\right)f(−2)+h(0) . Find the value using your calculator. Show your work on paper.

Given f(x)=x2+3x−2f\left(x\right)=x^2+3x-2f(x)=x2+3x−2 , find f(y+1)f\left(y+1\right)f(y+1) . Show your work on paper.

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If
$g\left(x\right)\ =\ 3x\ -\ 5\$ , evaluate $g\left(-2\right)$ WITHOUT a calculator. Show your work on paper.

If
$g\left(x\right)\ =\ -\frac{x}{2}+4$ , evaluate $g\left(12\right)$ WITHOUT a calculator. Show your work on paper.

If $f\left(x\right)\ =\ -2x-3\ and\ g\left(x\right)\ =\ x^{2\ }+5x$ , then find the value of $g\left(-3\right)$ WITHOUT a calculator. Show your work on paper.

Let $h\left(t\right)=\frac{t-3}{t+3}$ . If the input is 9, find the output WITHOUT a calculator. Show your work on paper.

If $f\left(x\right)\ =\ -2x-3\ and\ g\left(x\right)\ =\ x^{2\ }+5x$ , then find the value of $f\left(1\right)+g\left(2\right)$ using a calculator.

Given the functions $g\left(s\right)\ =\ \sqrt{s+1}\ and\ h\left(t\right)\ =\ 2t^2-\frac{1}{2}t+3$
find the value of $g\left(3\right)$ . Show your work on paper.

If $h\left(t\right)=\frac{t-3}{t+3}\ and\ f\left(x\right)=x^2+3x-2$ , then what is $f\left(-2\right)+h\left(0\right)$ . Find the value using your calculator. Show your work on paper.

Given $f\left(x\right)=x^2+3x-2$ , find $f\left(y+1\right)$ . Show your work on paper.