Question

Given f(x) = 3x – 5 which statement is true? Explain how.
(1) f(0) = 0
(2) f(3) = 4
(3) f(4) = 3
(4) f(5) = 0

1. (2)
Step-by-step explanation:
by substituting the values of x into f(x) and evaluating
f(0) = 3(0) – 5 = 0 – 5 = – 5 ≠ 0
f(3) = 3(3) – 5 = 9 – 5 = 4 ← True
f(4) = 3(4) – 5 = 12 – 5 = 7 ≠ 3
f(5) = 3(5) – 5 = 15 – 5 = 10 ≠ 0

2. diemthu
Hence, statement 2 is true for the equation f(x) = 3x-5

### What is equation?

The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal.
Types of Equations:
Linear Equation: More than one variable may be present in a linear equation. An equation is said to be linear if the maximum power of the variable is consistently 1.
Quadratic Equation: This equation is of second order. At least one of the variables in a quadratic equation needs to be raised to exponent 2.
Cubic Equation: A third-order equation is this one. At least one of the variables in cubic equations needs to be raised to exponent 3.
Rational Equation: A fractional equation having a variable in the numerator, denominator, or both is referred to as a rational equation.
Substituting the values of x into f(x) and evaluating
f(x) = 3x – 5
put x = 0
f(0) = 3(0) – 5
= 0 – 5 = – 5
put x = 3
f(3) = 3(3) – 5
= 9 – 5
= 4
put x = 4
f(4) = 3(4) – 5
= 12 – 5
= 7
put x = 5
f(5) = 3(5) – 5
= 15 – 5
= 10
hence statement 2 is true.