0. Review of College Algebra

Functions

0. Review of College Algebra

Functions

Struggling with Trigonometry?

Join thousands of students who trust us to help them ace their exams!Watch the first video

Multiple Choice

Is the equation $y=-2x+10$ a function? If so, rewrite it in function notation and evaluate at $f\left(3\right)$ .

$f\left(3\right)=4$ , Is A Function

$f\left(3\right)=3$ , Is A Function

$f\left(3\right)=1$ , Is A Function

Is NOT A Function

Verified step by step guidance

Step 1: Determine if the equation y = -2x + 10 is a function. A function is a relation where each input (x-value) has exactly one output (y-value). Since this equation is in the form of y = mx + b, which is a linear equation, it is a function.

Step 2: Rewrite the equation in function notation. The equation y = -2x + 10 can be rewritten as f(x) = -2x + 10, where f(x) represents the function value at x.

Step 3: Evaluate the function at x = 3. Substitute x = 3 into the function notation: f(3) = -2(3) + 10.

Step 4: Simplify the expression from Step 3. Calculate -2 times 3, then add 10 to the result.

Step 5: Conclude that the equation is a function and provide the evaluated result of f(3) based on the simplification from Step 4.

5:2m

Watch next

Master Introduction to Relations and Functions with a bite sized video explanation from Patrick

Start learning

Functions practice set

Problem sets built by lead tutors

Expert video explanations

Go to Practice

Struggling with Trigonometry?

Is the equation y=−2x+10y=-2x+10y=−2x+10 a function? If so, rewrite it in function notation and evaluate at f(3)f\left(3\right)f(3).

Watch next

Functions practice set

Is the equation $y=-2x+10$ a function? If so, rewrite it in function notation and evaluate at $f\left(3\right)$ .