Function Notation Worksheet - Fill Online, Printable, Fillable ... - Free Printable

Let’s solve each part step by step.

We are given four functions:

- g(x) = -3x + 5
- f(x) = x² + 7
- h(x) = 12 / x
- j(x) = -2x + 9

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Part a: g(8)
Plug in x = 8 into g(x):
g(8) = -3*(8) + 5 = -24 + 5 = -19

Part b: f(3)
f(3) = (3)² + 7 = 9 + 7 = 16

Part c: h(-2)
h(-2) = 12 / (-2) = -6

Part d: j(7)
j(7) = -2*(7) + 9 = -14 + 9 = -5

Part e: f(5)
f(5) = (5)² + 7 = 25 + 7 = 32

Part f: g(-6)
g(-6) = -3*(-6) + 5 = 18 + 5 = 23

Part g: j(5)
j(5) = -2*(5) + 9 = -10 + 9 = -1

Part h: j(-4)
j(-4) = -2*(-4) + 9 = 8 + 9 = 17

Part i: h(2)
h(2) = 12 / 2 = 6

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Now, Part 2: Translate statements into coordinate points and plot them.

Remember: A function statement like “f(a) = b” means the point is (a, b).

a. f(-1) = 1 → Point: (-1, 1)
b. f(2) = 7 → Point: (2, 7)
c. f(1) = -1 → Point: (1, -1)
d. f(5) = 6 → Point: (5, 6)

You would plot these on the grid:
- Go left/right for x-value, up/down for y-value.
- Mark a dot at each of those coordinates.

Since we can’t draw here, just know that you place dots at:
(-1, 1), (2, 7), (1, -1), (5, 6)

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Final Answer:

1.
a. -19
b. 16
c. -6
d. -5
e. 32
f. 23
g. -1
h. 17
i. 6

2. Points to plot:
a. (-1, 1)
b. (2, 7)
c. (1, -1)
d. (5, 6)