Evaluating Functions Lesson Slides: 6 Slides (11th Grade)

6 Slides • 6 Questions

1

Evaluating Functions

Feb 1

2

Function Notation

f(x)

We call this "f of x"

f is the function name and x is the input

f(x) is the output

Input: what gets plugged in

Output: the answer for the given input

3

Example:

f\left(x\right)=x^2-9x+2

Evaluate: f(4)
plug in 4 everywhere there is an x:
$f\left(4\right)=4^2-9\left(4\right)+2$
evaluate:
$f\left(4\right)=16-36+2$
solve:
$f\left(4\right)=-18$

4

Multiple Choice

$f\left(x\right)=x^2-9x+2$
Evaluate: $f\left(-2\right)$

1

$f\left(-2\right)=24$

2

$f\left(-2\right)=-20$

3

$f\left(-2\right)=16$

4

$f\left(-2\right)=-12$

5

$f\left(x\right)=x^2-9x+2$
Evaluate: $f\left(-2\right)$

Plus in -2 for x in function: $f\left(-2\right)=\left(-2\right)^2-9\left(-2\right)+2$
Evaluate: $\left(-2\right)^2=4,\ \ -9\left(-2\right)=18$
solve: $f\left(-2\right)=4+18+2=24$
$f\left(-2\right)=24$

6

The function name can change, but your process doesn't

$g\left(x\right)=-7x+9$
This function is g of x, instead of f of x. But that doesn't matter.

7

$g\left(x\right)=-7x+9$

Evaluate: g(-1)
Plug in -1 for all values of x
$g\left(-1\right)=-7\left(-1\right)+9$
evaluate
$g\left(-1\right)=7+9$
solve
$g\left(-1\right)=16$

8

Open Ended

$g\left(x\right)=-7+9$

Evaluate: g(5)

Type response here

9

Open Ended

$g\left(x\right)=-7+9$
evaluate: g(-3)

Type response here

10

Open Ended

$h\left(x\right)=x^2-4x$
Evaluate: h(-3)

Type response here

11

Open Ended

$h\left(x\right)=x^2-4x$
evaluate: h(3)

Type response here

12

Open Ended

$h\left(x\right)=x^2-4x$
evaluate: h(-5)

Type response here

Evaluating Functions

Feb 1

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