Constructing Functions from Graphs Warmup 2

A(n) _________________ function will MULTIPLY the same number each time.

• Linear

• Exponential

• All of the above

Answer explanation

An exponential function multiplies a constant factor each time, leading to rapid growth. In contrast, a linear function adds a constant value. Therefore, the correct answer is 'Exponential'.

A(n) _________________ function will ADD the same number each time.

• Linear

• Exponential

• All of the above

Answer explanation

A linear function adds a constant value each time, resulting in a straight line when graphed. In contrast, an exponential function multiplies by a constant, leading to rapid growth. Therefore, the correct answer is 'Linear'.

Is the equation linear or exponential?

• Linear

• Exponential

Answer explanation

The equation is exponential because it involves a variable in the exponent, indicating growth or decay at a rate proportional to its current value, unlike linear equations which have a constant rate of change.

Is the equation linear or exponential?

• Linear

• Exponential

Answer explanation

The equation is linear because it can be expressed in the form y = mx + b, where m and b are constants. In contrast, exponential equations involve variables in the exponent. Thus, the correct choice is Linear.

Which type of function is represented in the graph?Which equation could match the graph shown?

Which equation could match the graph shown?

Answer explanation

The correct equation is \(y=\frac{4}{3}x-6\) because it has a positive slope and a y-intercept of -6, matching the graph's characteristics. The other options do not fit the slope or intercept shown in the graph.