Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

fill in the table using this function rule. y = -4x + 1 x | y -2 | 0 | …

Question

fill in the table using this function rule.
y = -4x + 1
x | y
-2 |
0 |
2 |
4 |

Explanation:

Step1: Substitute \( x = -2 \) into \( y = -4x + 1 \)

\( y = -4\times(-2) + 1 = 8 + 1 = 9 \)

Step2: Substitute \( x = 0 \) into \( y = -4x + 1 \)

\( y = -4\times0 + 1 = 0 + 1 = 1 \)

Step3: Substitute \( x = 2 \) into \( y = -4x + 1 \)

\( y = -4\times2 + 1 = -8 + 1 = -7 \)

Step4: Substitute \( x = 4 \) into \( y = -4x + 1 \)

\( y = -4\times4 + 1 = -16 + 1 = -15 \)

Answer:

When \( x = -2 \), \( y = 9 \); when \( x = 0 \), \( y = 1 \); when \( x = 2 \), \( y = -7 \); when \( x = 4 \), \( y = -15 \)

(In table form:

\( x \)\( y \)
01
2-7
4-15)