Question

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Answer 1

Answer:

1

-1

-3

3

Step-by-step explanation:

f(1) = 2(1) -1

f(1) = 1

f(0) = 2(0) -1

f(0) = -1

f(-1) = 2(-1) -1

f(-1) = -3

f(2) = 2(2) -1

f(2) = 3

Answer 2

Answers in order from top to bottom:

• 1
• -1
• -3
• 3

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Explanation:

To get each answer shown above, we replace each x value with a single specific value.

In the top row, we have x = 1. So we'll replace every x with 1 to get...

f(x) = 2x-1

f(1) = 2(1)-1

f(1) = 2-1

f(1) = 1

So that's why 1 goes in the first box.

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We repeat the same structure of steps for x = 0

f(x) = 2x-1

f(0) = 2(0)-1

f(0) = 0-1

f(0) = -1

Meaning that -1 goes in the second box.

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Repeat for x = -1

f(x) = 2x-1

f(-1) = 2(-1)-1

f(-1) = -2-1

f(-1) = -3

When we subtract a positive from a negative, we're really adding the two positive versions of the number, and then making the final result negative.

So -3 goes in the third box.

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Repeat for x = 2

f(x) = 2x-1

f(2) = 2(2)-1

f(2) = 4-1

f(2) = 3

We have 3 go in the fourth box.

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Side note: This is a linear function in slope intercept form y = mx+b. We have m = 2 as the slope and b = -1 as the y intercept.