The problem gives a graph of a function $f(x)$. We need to evaluate $f(4)$ and solve $f(x) = 4$.

AlgebraFunctionsGraphingFunction EvaluationSolving Equations
2025/6/2

1. Problem Description

The problem gives a graph of a function f(x)f(x). We need to evaluate f(4)f(4) and solve f(x)=4f(x) = 4.

2. Solution Steps

First, let's find f(4)f(4) using the graph. We look for the point on the graph where x=4x = 4. From the graph, the corresponding yy-value (or f(4)f(4)) is approximately 11.
Next, we need to solve f(x)=4f(x) = 4. This means we need to find the xx-value for which the yy-value (or f(x)f(x)) is equal to 44. Looking at the graph, we find that the yy-value is 44 when x=1x = -1. Thus, x=1x = -1.

3. Final Answer

f(4)=1f(4) = 1
x=1x = -1

Related problems in "Algebra"

The problem asks to evaluate the function $f(x) = x^2 + 3x$. However, the value of $x$ to use for ev...

FunctionsPolynomials
2025/6/4

The first problem is to simplify the expression $(y - \frac{2}{y+1}) \div (1 - \frac{2}{y+1})$. The ...

Algebraic simplificationRational expressionsGeometryPolygonsInterior angles
2025/6/3

We are given two equations: $x + y = 1$ and $x + 3y = 5$. We need to find the value of the expressio...

Systems of EquationsSubstitutionPolynomial Evaluation
2025/6/3

We need to solve four problems: Problem 8: Determine the correct logical expression representing "Th...

LogicSet TheoryArithmeticExponentsSimplificationFraction Operations
2025/6/3

We have six problems to solve: 1. Round the number 689,653 to three significant figures.

RoundingNumber BasesSimplifying RadicalsLogarithmsQuadratic EquationsFactorizationInverse Variation
2025/6/3

The problem asks to solve a system of two linear equations for $m$ and $n$: $3m - n = 5$ $m + 2n = -...

Linear EquationsSystems of EquationsSubstitution Method
2025/6/3

We are given a system of two linear equations with two variables, $x$ and $y$: $4x + y = 1$ $2x + 3y...

Linear EquationsSystems of EquationsSubstitution Method
2025/6/3

The problem has two parts. Part (a) requires us to solve the equation $(\frac{2}{3})^{x+2} = (\frac{...

ExponentsEquationsGeometrySimilar Triangles
2025/6/3

The problem has three parts. (a) Complete the table of values for the quadratic equation $y = 2x^2 +...

Quadratic EquationsGraphingParabolaRootsVertex
2025/6/3

The sum of the ages of a woman and her daughter is 46 years. In 4 years, the ratio of the woman's ag...

Age ProblemsSystems of EquationsLinear EquationsWord Problems
2025/6/3